Sivkova, E. O. Optimal recovery of a family of operators from inaccurate measurements on a compact. (Russian. English summary) Zbl 07743976 Vladikavkaz. Mat. Zh. 25, No. 2, 124-135 (2023). MSC: 34K29 65K10 90C25 PDF BibTeX XML Cite \textit{E. O. Sivkova}, Vladikavkaz. Mat. Zh. 25, No. 2, 124--135 (2023; Zbl 07743976) Full Text: DOI MNR
Babenko, Vladyslav; Babenko, Vira; Kovalenko, Oleg Korneichuk-Stechkin lemma, Ostrowski and Landau inequalities, and optimal recovery problems for \(L\)-space valued functions. (English) Zbl 07739381 Numer. Funct. Anal. Optim. 44, No. 12, 1309-1341 (2023). MSC: 41A65 41A17 46E40 41A44 PDF BibTeX XML Cite \textit{V. Babenko} et al., Numer. Funct. Anal. Optim. 44, No. 12, 1309--1341 (2023; Zbl 07739381) Full Text: DOI arXiv
Foucart, Simon Full recovery from point values: an optimal algorithm for Chebyshev approximability prior. (English) Zbl 07726215 Adv. Comput. Math. 49, No. 4, Paper No. 57, 14 p. (2023). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 41A05 41A10 41A50 90C05 PDF BibTeX XML Cite \textit{S. Foucart}, Adv. Comput. Math. 49, No. 4, Paper No. 57, 14 p. (2023; Zbl 07726215) Full Text: DOI arXiv
Hinrichs, Aicke; Prochno, Joscha; Sonnleitner, Mathias Random sections of \(\ell_p\)-ellipsoids, optimal recovery and Gelfand numbers of diagonal operators. (English) Zbl 07720797 J. Approx. Theory 293, Article ID 105919, 19 p. (2023). MSC: 41-XX 42-XX 52A23 65Y20 60G15 PDF BibTeX XML Cite \textit{A. Hinrichs} et al., J. Approx. Theory 293, Article ID 105919, 19 p. (2023; Zbl 07720797) Full Text: DOI arXiv
Polovinkina, Marina V.; Polovinkin, Igor P. Recovery of the solution of the singular heat equation from measurement data. (English) Zbl 1518.35460 Bol. Soc. Mat. Mex., III. Ser. 29, No. 2, Paper No. 41, 19 p. (2023). MSC: 35K67 26A33 35B40 35K15 43A32 PDF BibTeX XML Cite \textit{M. V. Polovinkina} and \textit{I. P. Polovinkin}, Bol. Soc. Mat. Mex., III. Ser. 29, No. 2, Paper No. 41, 19 p. (2023; Zbl 1518.35460) Full Text: DOI
Tao, Min; Zhang, Xiao-Ping Study on \(L_1\) over \(L_2\) Minimization for nonnegative signal recovery. (English) Zbl 1519.90196 J. Sci. Comput. 95, No. 3, Paper No. 94, 24 p. (2023). MSC: 90C26 90C32 90C90 49N45 PDF BibTeX XML Cite \textit{M. Tao} and \textit{X.-P. Zhang}, J. Sci. Comput. 95, No. 3, Paper No. 94, 24 p. (2023; Zbl 1519.90196) Full Text: DOI
Imperiale, Sébastien; Manganotti, Jessica; Moireau, Philippe Flow recovery from distal pressure in linearized hemodynamics: an optimal control approach. (English) Zbl 1518.92052 Inverse Probl. 39, No. 7, Article ID 075004, 39 p. (2023). MSC: 92C35 93B07 49J20 PDF BibTeX XML Cite \textit{S. Imperiale} et al., Inverse Probl. 39, No. 7, Article ID 075004, 39 p. (2023; Zbl 1518.92052) Full Text: DOI
Jia, Yifei; Qi, Jiangang; Li, Jing Optimal recovery of potentials for Sturm-Liouville eigenvalue problems with separated boundary conditions. (English) Zbl 07679020 Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 79, 15 p. (2023). MSC: 34A55 34B24 PDF BibTeX XML Cite \textit{Y. Jia} et al., Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 79, 15 p. (2023; Zbl 07679020) Full Text: DOI
Unuchek, S. A. Optimal recovery methods exact on trigonometric polynomials for the solution of the heat equation. (English. Russian original) Zbl 1512.35355 Math. Notes 113, No. 1, 116-128 (2023); translation from Mat. Zametki 113, No. 1, 118-131 (2023). MSC: 35K05 35C10 35K20 42A10 PDF BibTeX XML Cite \textit{S. A. Unuchek}, Math. Notes 113, No. 1, 116--128 (2023; Zbl 1512.35355); translation from Mat. Zametki 113, No. 1, 118--131 (2023) Full Text: DOI
Cherkaoui Dekkaki, Othman; El Khattabi, Noha; Raissi, Nadia Bioeconomic modeling of household waste recovery. (English) Zbl 07767999 Math. Methods Appl. Sci. 45, No. 1, 468-482 (2022). MSC: 92F05 93C95 PDF BibTeX XML Cite \textit{O. Cherkaoui Dekkaki} et al., Math. Methods Appl. Sci. 45, No. 1, 468--482 (2022; Zbl 07767999) Full Text: DOI
Zhou, Xueyong; Shi, Xiangyun; Wei, Ming Dynamical behavior and optimal control of a stochastic mathematical model for cholera. (English) Zbl 1506.92104 Chaos Solitons Fractals 156, Article ID 111854, 18 p. (2022). MSC: 92D30 92C60 93E20 PDF BibTeX XML Cite \textit{X. Zhou} et al., Chaos Solitons Fractals 156, Article ID 111854, 18 p. (2022; Zbl 1506.92104) Full Text: DOI
Li, Tingting; Guo, Youming Optimal control strategy of an online game addiction model with incomplete recovery. (English) Zbl 1507.92102 J. Optim. Theory Appl. 195, No. 3, 780-807 (2022). Reviewer: Yilun Shang (Newcastle upon Tyne) MSC: 92D30 34D23 49J15 PDF BibTeX XML Cite \textit{T. Li} and \textit{Y. Guo}, J. Optim. Theory Appl. 195, No. 3, 780--807 (2022; Zbl 1507.92102) Full Text: DOI
Meng, Nan; Zhao, Yun-Bin; Kočvara, Michal; Sun, Zhongfeng Partial gradient optimal thresholding algorithms for a class of sparse optimization problems. (English) Zbl 1501.90076 J. Glob. Optim. 84, No. 2, 393-413 (2022). MSC: 90C26 PDF BibTeX XML Cite \textit{N. Meng} et al., J. Glob. Optim. 84, No. 2, 393--413 (2022; Zbl 1501.90076) Full Text: DOI arXiv
Bu, Jing; Xie, Liejun; Wang, Jinping Sufficient conditions on stable reconstruction of weighted problem. (English) Zbl 07594527 Appl. Anal. 101, No. 16, 5674-5683 (2022). MSC: 68W25 49N45 PDF BibTeX XML Cite \textit{J. Bu} et al., Appl. Anal. 101, No. 16, 5674--5683 (2022; Zbl 07594527) Full Text: DOI
Krieg, David; Novak, Erich; Sonnleitner, Mathias Recovery of Sobolev functions restricted to iid sampling. (English) Zbl 07582812 Math. Comput. 91, No. 338, 2715-2738 (2022). MSC: 65C05 41A25 41A63 65D15 65D30 65Y20 PDF BibTeX XML Cite \textit{D. Krieg} et al., Math. Comput. 91, No. 338, 2715--2738 (2022; Zbl 07582812) Full Text: DOI arXiv
Dolbeault, Matthieu; Cohen, Albert Optimal sampling and Christoffel functions on general domains. (English) Zbl 1517.41001 Constr. Approx. 56, No. 1, 121-163 (2022). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A10 65D15 41A81 41A65 62E17 PDF BibTeX XML Cite \textit{M. Dolbeault} and \textit{A. Cohen}, Constr. Approx. 56, No. 1, 121--163 (2022; Zbl 1517.41001) Full Text: DOI arXiv
Foucart, Simon; Liao, Chunyang; Shahrampour, Shahin; Wang, Yinsong Learning from non-random data in Hilbert spaces: an optimal recovery perspective. (English) Zbl 1498.46078 Sampl. Theory Signal Process. Data Anal. 20, No. 1, Paper No. 5, 19 p. (2022). MSC: 46N40 90C22 90C47 68T05 PDF BibTeX XML Cite \textit{S. Foucart} et al., Sampl. Theory Signal Process. Data Anal. 20, No. 1, Paper No. 5, 19 p. (2022; Zbl 1498.46078) Full Text: DOI arXiv
Riet, Ago-Erik; Skachek, Vitaly; Thomas, Eldho K. Batch codes for asynchronous recovery of data. (English) Zbl 1495.94145 IEEE Trans. Inf. Theory 68, No. 3, 1545-1559 (2022). MSC: 94B25 94C15 PDF BibTeX XML Cite \textit{A.-E. Riet} et al., IEEE Trans. Inf. Theory 68, No. 3, 1545--1559 (2022; Zbl 1495.94145) Full Text: DOI arXiv
Osipenko, Konstantin Yu. Optimal recovery in weighted spaces with homogeneous weights. (English. Russian original) Zbl 1505.41020 Sb. Math. 213, No. 3, 385-411 (2022); translation from Mat. Sb. 213, No. 3, 111-138 (2022). MSC: 41A65 41A46 42B10 PDF BibTeX XML Cite \textit{K. Yu. Osipenko}, Sb. Math. 213, No. 3, 385--411 (2022; Zbl 1505.41020); translation from Mat. Sb. 213, No. 3, 111--138 (2022) Full Text: DOI
Cohen, Albert; Dahmen, Wolfgang; Mula, Olga; Nichols, James Nonlinear reduced models for state and parameter estimation. (English) Zbl 1482.65170 SIAM/ASA J. Uncertain. Quantif. 10, 227-267 (2022). MSC: 65M32 65M12 PDF BibTeX XML Cite \textit{A. Cohen} et al., SIAM/ASA J. Uncertain. Quantif. 10, 227--267 (2022; Zbl 1482.65170) Full Text: DOI arXiv
Qin, Yue; Cheng, Chi; Zhang, Xiaohan; Pan, Yanbin; Hu, Lei; Ding, Jintai A systematic approach and analysis of key mismatch attacks on lattice-based NIST candidate KEMs. (English) Zbl 1514.94126 Tibouchi, Mehdi (ed.) et al., Advances in cryptology – ASIACRYPT 2021. 27th international conference on the theory and application of cryptology and information security, Singapore, December 6–10, 2021. Proceedings. Part IV. Cham: Springer. Lect. Notes Comput. Sci. 13093, 92-121 (2021). MSC: 94A60 94A17 81P94 PDF BibTeX XML Cite \textit{Y. Qin} et al., Lect. Notes Comput. Sci. 13093, 92--121 (2021; Zbl 1514.94126) Full Text: DOI
Chen, Yifan; Hosseini, Bamdad; Owhadi, Houman; Stuart, Andrew M. Solving and learning nonlinear PDEs with Gaussian processes. (English) Zbl 07516428 J. Comput. Phys. 447, Article ID 110668, 29 p. (2021). MSC: 65Cxx 68Txx 62Gxx PDF BibTeX XML Cite \textit{Y. Chen} et al., J. Comput. Phys. 447, Article ID 110668, 29 p. (2021; Zbl 07516428) Full Text: DOI arXiv Link
Babenko, V. F.; Babenko, Yu. V.; Kovalenko, O. V. On asymptotically optimal cubatures for multidimensional Sobolev spaces. (English) Zbl 1502.41011 Res. Math. 29, No. 2, 15-27 (2021). MSC: 41A55 26D10 41A44 PDF BibTeX XML Cite \textit{V. F. Babenko} et al., Res. Math. 29, No. 2, 15--27 (2021; Zbl 1502.41011) Full Text: DOI
Babenko, V. F.; Parfinovych, N. V.; Skorokhodov, D. S. Optimal recovery of operator sequences. (English) Zbl 1502.41008 Mat. Stud. 56, No. 2, 193-207 (2021). MSC: 41A50 46A45 47N10 PDF BibTeX XML Cite \textit{V. F. Babenko} et al., Mat. Stud. 56, No. 2, 193--207 (2021; Zbl 1502.41008) Full Text: DOI arXiv
Gomoyunov, Mikhail Igorevich; Serkov, Dmitriĭ Aleksandrovich On guarantee optimization in control problem with finite set of disturbances. (English) Zbl 1483.49046 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 31, No. 4, 613-628 (2021). MSC: 49N30 49N35 93C15 PDF BibTeX XML Cite \textit{M. I. Gomoyunov} and \textit{D. A. Serkov}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 31, No. 4, 613--628 (2021; Zbl 1483.49046) Full Text: DOI MNR
Krivosheev, Kirill Yu. On optimal recovery of values of linear operators from information known with a stochastic error. (English. Russian original) Zbl 1496.41015 Sb. Math. 212, No. 11, 1588-1607 (2021); translation from Mat. Sb. 212, No. 11, 89-108 (2021). MSC: 41A65 PDF BibTeX XML Cite \textit{K. Yu. Krivosheev}, Sb. Math. 212, No. 11, 1588--1607 (2021; Zbl 1496.41015); translation from Mat. Sb. 212, No. 11, 89--108 (2021) Full Text: DOI
Temlyakov, V.; Ullrich, T. Bounds on Kolmogorov widths and sampling recovery for classes with small mixed smoothness. (English) Zbl 1482.41020 J. Complexity 67, Article ID 101575, 19 p. (2021). Reviewer: Allan Pinkus (Haifa) MSC: 41A46 PDF BibTeX XML Cite \textit{V. Temlyakov} and \textit{T. Ullrich}, J. Complexity 67, Article ID 101575, 19 p. (2021; Zbl 1482.41020) Full Text: DOI arXiv
Ettehad, Mahmood; Foucart, Simon Instances of computational optimal recovery: dealing with observation errors. (English) Zbl 1483.41012 SIAM/ASA J. Uncertain. Quantif. 9, 1438-1456 (2021). Reviewer: Sorin-Mihai Grad (Paris) MSC: 41A65 49M29 65K05 90C22 90C47 PDF BibTeX XML Cite \textit{M. Ettehad} and \textit{S. Foucart}, SIAM/ASA J. Uncertain. Quantif. 9, 1438--1456 (2021; Zbl 1483.41012) Full Text: DOI arXiv
Davydov, Oleg Approximation with conditionally positive definite kernels on deficient sets. (English) Zbl 1477.65034 Fasshauer, Gregory E. (ed.) et al., Approximation theory XVI. Proceedings of the international conference, Nashville, TN, USA, May 19–22, 2019. Cham: Springer. Springer Proc. Math. Stat. 336, 27-38 (2021). MSC: 65D10 65D25 41A30 PDF BibTeX XML Cite \textit{O. Davydov}, Springer Proc. Math. Stat. 336, 27--38 (2021; Zbl 1477.65034) Full Text: DOI arXiv
Takeuchi, Keigo Bayes-optimal convolutional AMP. (English) Zbl 1475.94045 IEEE Trans. Inf. Theory 67, No. 7, 4405-4428 (2021). MSC: 94A12 PDF BibTeX XML Cite \textit{K. Takeuchi}, IEEE Trans. Inf. Theory 67, No. 7, 4405--4428 (2021; Zbl 1475.94045) Full Text: DOI arXiv
Temlyakov, V. On optimal recovery in \(L_2\). (English) Zbl 1469.41009 J. Complexity 65, Article ID 101545, 11 p. (2021). Reviewer: Yuri A. Farkov (Moskva) MSC: 41A46 65D99 65Y20 PDF BibTeX XML Cite \textit{V. Temlyakov}, J. Complexity 65, Article ID 101545, 11 p. (2021; Zbl 1469.41009) Full Text: DOI arXiv
Babenko, V.; Babenko, V.; Kovalenko, O.; Polishchuk, M. Optimal recovery of operators in function \(L\)-spaces. (English) Zbl 1488.46070 Anal. Math. 47, No. 1, 13-32 (2021). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46E40 41A65 26D10 41A44 46A19 PDF BibTeX XML Cite \textit{V. Babenko} et al., Anal. Math. 47, No. 1, 13--32 (2021; Zbl 1488.46070) Full Text: DOI
Simeoni, Matthieu Functional penalised basis pursuit on spheres. (English) Zbl 1476.49049 Appl. Comput. Harmon. Anal. 53, 1-53 (2021). Reviewer: Nelly Villamizar (Swansea) MSC: 49N45 65D07 PDF BibTeX XML Cite \textit{M. Simeoni}, Appl. Comput. Harmon. Anal. 53, 1--53 (2021; Zbl 1476.49049) Full Text: DOI arXiv
Magaril-Il’yaev, G. G.; Osipenko, K. Yu.; Sivkova, E. O. Optimal recovery of pipe temperature from inaccurate measurements. (English. Russian original) Zbl 1462.35159 Proc. Steklov Inst. Math. 312, 207-214 (2021); translation from Tr. Mat. Inst. Steklova 312, 216-223 (2021). MSC: 35K10 35R01 35R30 PDF BibTeX XML Cite \textit{G. G. Magaril-Il'yaev} et al., Proc. Steklov Inst. Math. 312, 207--214 (2021; Zbl 1462.35159); translation from Tr. Mat. Inst. Steklova 312, 216--223 (2021) Full Text: DOI
Foucart, Simon Instances of computational optimal recovery: refined approximability models. (English) Zbl 1460.65068 J. Complexity 62, Article ID 101503, 13 p. (2021). MSC: 65K05 90C22 PDF BibTeX XML Cite \textit{S. Foucart}, J. Complexity 62, Article ID 101503, 13 p. (2021; Zbl 1460.65068) Full Text: DOI arXiv
Akopyan, R. R. Optimal recovery of a derivative of an analytic function from values of the function given with an error on a part of the boundary. II. (English) Zbl 1474.30004 Anal. Math. 46, No. 3, 409-424 (2020). Reviewer: Yusuf Avci (Istanbul) MSC: 30A10 30C80 30C85 30E10 PDF BibTeX XML Cite \textit{R. R. Akopyan}, Anal. Math. 46, No. 3, 409--424 (2020; Zbl 1474.30004) Full Text: DOI
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Fadili, Jalal; Mula, Olga; Nichols, James Optimal reduced model algorithms for data-based state estimation. (English) Zbl 1458.65121 SIAM J. Numer. Anal. 58, No. 6, 3355-3381 (2020). MSC: 65M32 65K10 65M15 65D99 35R30 PDF BibTeX XML Cite \textit{A. Cohen} et al., SIAM J. Numer. Anal. 58, No. 6, 3355--3381 (2020; Zbl 1458.65121) Full Text: DOI arXiv
Abramova, E. V.; Magaril-Il’yaev, G. G.; Sivkova, E. O. Best recovery of the solution of the Dirichlet problem in a half-space from inaccurate data. (English. Russian original) Zbl 1457.62054 Comput. Math. Math. Phys. 60, No. 10, 1656-1665 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 10, 1711-1720 (2020). MSC: 62D10 62G32 60J46 PDF BibTeX XML Cite \textit{E. V. Abramova} et al., Comput. Math. Math. Phys. 60, No. 10, 1656--1665 (2020; Zbl 1457.62054); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 10, 1711--1720 (2020) Full Text: DOI
Babenko, V. F.; Gunko, M. S.; Parfinovych, N. V. Optimal recovery of elements of a Hilbert space and their scalar products according to the Fourier coefficients known with errors. (English. Ukrainian original) Zbl 1455.65087 Ukr. Math. J. 72, No. 6, 853-870 (2020); translation from Ukr. Mat. Zh. 72, No. 6, 736-750 (2020). MSC: 65J22 47J06 PDF BibTeX XML Cite \textit{V. F. Babenko} et al., Ukr. Math. J. 72, No. 6, 853--870 (2020; Zbl 1455.65087); translation from Ukr. Mat. Zh. 72, No. 6, 736--750 (2020) Full Text: DOI
Polovinkina, M. V. Recovery of the operator \(\Delta_B\) from its incomplete Fourier-Bessel image. (English) Zbl 1450.65023 Lobachevskii J. Math. 41, No. 5, 839-852 (2020). MSC: 65D18 94A08 PDF BibTeX XML Cite \textit{M. V. Polovinkina}, Lobachevskii J. Math. 41, No. 5, 839--852 (2020; Zbl 1450.65023) Full Text: DOI
Duan, Xi-Chao; Jung, Il Hyo; Li, Xue-zhi; Martcheva, Maia Dynamics and optimal control of an age-structured SIRVS epidemic model. (English) Zbl 1452.92024 Math. Methods Appl. Sci. 43, No. 7, 4239-4256 (2020). MSC: 92C60 34K20 49J20 PDF BibTeX XML Cite \textit{X.-C. Duan} et al., Math. Methods Appl. Sci. 43, No. 7, 4239--4256 (2020; Zbl 1452.92024) Full Text: DOI
Babenko, Vladyslav; Babenko, Vira; Kovalenko, Oleg Optimal recovery of monotone operators in partially ordered \(L\)-spaces. (English) Zbl 1448.41030 Numer. Funct. Anal. Optim. 41, No. 11, 1373-1397 (2020). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 41A65 26D10 46E40 41A44 PDF BibTeX XML Cite \textit{V. Babenko} et al., Numer. Funct. Anal. Optim. 41, No. 11, 1373--1397 (2020; Zbl 1448.41030) Full Text: DOI
Babenko, Vladyslav; Babenko, Yuliya; Kovalenko, Oleg On multivariate Ostrowski type inequalities and their applications. (English) Zbl 1445.26017 Math. Inequal. Appl. 23, No. 2, 569-583 (2020). Reviewer: Sorin Gheorghe Gal (Oradea) MSC: 26D10 41A17 41A44 41A45 PDF BibTeX XML Cite \textit{V. Babenko} et al., Math. Inequal. Appl. 23, No. 2, 569--583 (2020; Zbl 1445.26017) Full Text: DOI
Bassey, B. Echeng Dynamic optimal control for multi-chemotherapy treatment of dual listeriosis infection in human and animal population. (English) Zbl 1448.92121 Appl. Appl. Math. 15, No. 1, 192-225 (2020). Reviewer: Fatima T. Adylova (Tashkent) MSC: 92C60 92C50 49J15 PDF BibTeX XML Cite \textit{B. E. Bassey}, Appl. Appl. Math. 15, No. 1, 192--225 (2020; Zbl 1448.92121) Full Text: Link
Wang, Jun; Wang, Xing Tao Sparse signal reconstruction via the approximations of \(\ell_0\) quasinorm. (English) Zbl 1449.90327 J. Ind. Manag. Optim. 16, No. 4, 1907-1925 (2020). MSC: 90C30 65K05 49M37 49M25 PDF BibTeX XML Cite \textit{J. Wang} and \textit{X. T. Wang}, J. Ind. Manag. Optim. 16, No. 4, 1907--1925 (2020; Zbl 1449.90327) Full Text: DOI
Ettehad, Mahmood; Foucart, Simon Approximability models and optimal system identification. (English) Zbl 1436.93031 Math. Control Signals Syst. 32, No. 1, 19-41 (2020). MSC: 93B30 93C25 30H10 PDF BibTeX XML Cite \textit{M. Ettehad} and \textit{S. Foucart}, Math. Control Signals Syst. 32, No. 1, 19--41 (2020; Zbl 1436.93031) Full Text: DOI arXiv
Kovalenko, Oleg On optimal recovery of integrals of random processes. (English) Zbl 1440.60046 J. Math. Anal. Appl. 487, No. 1, Article ID 123949, 15 p. (2020). MSC: 60H05 60E15 60G05 PDF BibTeX XML Cite \textit{O. Kovalenko}, J. Math. Anal. Appl. 487, No. 1, Article ID 123949, 15 p. (2020; Zbl 1440.60046) Full Text: DOI arXiv
Hayase, Tomohiro Cauchy noise loss for stochastic optimization of random matrix models via free deterministic equivalents. (English) Zbl 1435.62192 J. Math. Anal. Appl. 483, No. 2, Article ID 123597, 34 p. (2020). Reviewer: Denis Sidorov (Irkutsk) MSC: 62H12 15B52 49J55 60G60 PDF BibTeX XML Cite \textit{T. Hayase}, J. Math. Anal. Appl. 483, No. 2, Article ID 123597, 34 p. (2020; Zbl 1435.62192) Full Text: DOI arXiv
Magaril-Il’yaev, Georgiĭ Georgievich; Sivkova, Elena Olegovna Optimal recovery of semi-group operators from inaccurate data. (English) Zbl 1474.42043 Eurasian Math. J. 10, No. 4, 75-84 (2019). MSC: 42B10 49K35 PDF BibTeX XML Cite \textit{G. G. Magaril-Il'yaev} and \textit{E. O. Sivkova}, Eurasian Math. J. 10, No. 4, 75--84 (2019; Zbl 1474.42043) Full Text: DOI MNR
Carpentier, Alexandra; Eisert, Jens; Gross, David; Nickl, Richard Uncertainty quantification for matrix compressed sensing and quantum tomography problems. (English) Zbl 1442.62118 Gozlan, Nathael (ed.) et al., High dimensional probability VIII. The Oaxaca volume. Selected papers based on the presentations at the 8th conference on high-dimensional probability, HDP VIII, Casa Matemática Oaxaca (CMO), Mexico, May 28 – June 2, 2017. Cham: Birkhäuser. Prog. Probab. 74, 385-430 (2019). MSC: 62H12 62L10 62J07 62G15 62P35 60G40 81P18 PDF BibTeX XML Cite \textit{A. Carpentier} et al., Prog. Probab. 74, 385--430 (2019; Zbl 1442.62118) Full Text: DOI arXiv
Dexter, Nick; Tran, Hoang; Webster, Clayton A mixed \(\ell_1\) regularization approach for sparse simultaneous approximation of parameterized PDEs. (English) Zbl 07167647 ESAIM, Math. Model. Numer. Anal. 53, No. 6, 2025-2045 (2019). MSC: 65C30 41A10 41A58 41A60 41A63 42B37 60H15 PDF BibTeX XML Cite \textit{N. Dexter} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 6, 2025--2045 (2019; Zbl 07167647) Full Text: DOI arXiv
Chen, Peimin; Luo, Xiankang Stochastic optimal control on dividend policies with bankruptcy. (English) Zbl 1479.91435 Optimization 68, No. 12, 2313-2333 (2019). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 91G50 91G05 93E20 PDF BibTeX XML Cite \textit{P. Chen} and \textit{X. Luo}, Optimization 68, No. 12, 2313--2333 (2019; Zbl 1479.91435) Full Text: DOI
Zhang, Rui; Li, Song Optimal RIP bounds for sparse signals recovery via \(\ell_p\) minimization. (English) Zbl 1422.94018 Appl. Comput. Harmon. Anal. 47, No. 3, 566-584 (2019). MSC: 94A12 94A15 94A08 41A63 15B52 PDF BibTeX XML Cite \textit{R. Zhang} and \textit{S. Li}, Appl. Comput. Harmon. Anal. 47, No. 3, 566--584 (2019; Zbl 1422.94018) Full Text: DOI
Ghilli, Daria; Kunisch, Karl On a monotone scheme for nonconvex nonsmooth optimization with applications to fracture mechanics. (English) Zbl 1425.49016 J. Optim. Theory Appl. 183, No. 2, 609-641 (2019). MSC: 49M25 49J52 49K20 74P10 74R10 90C26 65K10 PDF BibTeX XML Cite \textit{D. Ghilli} and \textit{K. Kunisch}, J. Optim. Theory Appl. 183, No. 2, 609--641 (2019; Zbl 1425.49016) Full Text: DOI arXiv
Osipenko, K. Yu. Generalized adaptive versus nonadaptive recovery from noisy information. (English) Zbl 07075679 J. Complexity 53, 162-172 (2019). MSC: 65-XX 49-XX PDF BibTeX XML Cite \textit{K. Yu. Osipenko}, J. Complexity 53, 162--172 (2019; Zbl 07075679) Full Text: DOI
Padcharoen, Anantachai; Kumam, Poom; Martínez-Moreno, Juan Augmented Lagrangian method for TV-\(l_1\)-\(l_2\) based colour image restoration. (English) Zbl 1432.94017 J. Comput. Appl. Math. 354, 507-519 (2019). MSC: 94A08 90C25 47A52 47H05 47H20 47J25 49M20 49M25 49M27 PDF BibTeX XML Cite \textit{A. Padcharoen} et al., J. Comput. Appl. Math. 354, 507--519 (2019; Zbl 1432.94017) Full Text: DOI
Kitkuan, Duangkamon; Kumam, Poom; Padcharoen, Anantachai; Kumam, Wiyada; Thounthong, Phatiphat Algorithms for zeros of two accretive operators for solving convex minimization problems and its application to image restoration problems. (English) Zbl 1432.90113 J. Comput. Appl. Math. 354, 471-495 (2019). MSC: 90C25 47H05 47H20 47J25 49M25 62H35 94A08 PDF BibTeX XML Cite \textit{D. Kitkuan} et al., J. Comput. Appl. Math. 354, 471--495 (2019; Zbl 1432.90113) Full Text: DOI
DeVore, Ronald; Foucart, Simon; Petrova, Guergana; Wojtaszczyk, Przemyslaw Computing a quantity of interest from observational data. (English) Zbl 1414.41019 Constr. Approx. 49, No. 3, 461-508 (2019). Reviewer: Vasile Postolică (Piatra Neamt) MSC: 41A65 41A46 46N40 65D32 PDF BibTeX XML Cite \textit{R. DeVore} et al., Constr. Approx. 49, No. 3, 461--508 (2019; Zbl 1414.41019) Full Text: DOI
Batenkov, Dmitry; Demanet, Laurent; Mhaskar, Hrushikesh N. Stable soft extrapolation of entire functions. (English) Zbl 1421.65032 Inverse Probl. 35, No. 1, Article ID 015011, 29 p. (2019). MSC: 65R32 30D15 94A12 PDF BibTeX XML Cite \textit{D. Batenkov} et al., Inverse Probl. 35, No. 1, Article ID 015011, 29 p. (2019; Zbl 1421.65032) Full Text: DOI arXiv Link
Xu, Hong-Kun Properties of \(\ell_p\)-norm errors in signal recovery. (English) Zbl 1458.94147 Linear Nonlinear Anal. 4, No. 1, 135-144 (2018). MSC: 94A12 47J06 47J25 49N45 PDF BibTeX XML Cite \textit{H.-K. Xu}, Linear Nonlinear Anal. 4, No. 1, 135--144 (2018; Zbl 1458.94147) Full Text: Link
Unuchek, S. A. Optimal recovery of the operators of the divided difference of the inaccurately given sequence by the Fourier transform. (Russian. English summary) Zbl 1463.65155 Vladikavkaz. Mat. Zh. 20, No. 3, 94-104 (2018). MSC: 65K10 PDF BibTeX XML Cite \textit{S. A. Unuchek}, Vladikavkaz. Mat. Zh. 20, No. 3, 94--104 (2018; Zbl 1463.65155) Full Text: DOI MNR
Chen, Qihong Recovery of local volatility for financial assets with mean-reverting price processes. (English) Zbl 1418.91457 Math. Control Relat. Fields 8, No. 3-4, 625-635 (2018). MSC: 91G10 49N90 91G70 93B30 93C20 PDF BibTeX XML Cite \textit{Q. Chen}, Math. Control Relat. Fields 8, No. 3--4, 625--635 (2018; Zbl 1418.91457) Full Text: DOI
Levit, B. On optimal cardinal interpolation. (English) Zbl 1417.62081 Math. Methods Stat. 27, No. 4, 245-267 (2018). MSC: 62G08 62K05 33E05 42A15 PDF BibTeX XML Cite \textit{B. Levit}, Math. Methods Stat. 27, No. 4, 245--267 (2018; Zbl 1417.62081) Full Text: DOI
Gupta, Deepak K.; Dhingra, Anoop K. Dynamic programming approach to load estimation using optimal sensor placement and model reduction. (English) Zbl 1404.90089 Int. J. Comput. Methods 15, No. 8, Article ID 1850071, 20 p. (2018). MSC: 90B80 90C39 65K05 PDF BibTeX XML Cite \textit{D. K. Gupta} and \textit{A. K. Dhingra}, Int. J. Comput. Methods 15, No. 8, Article ID 1850071, 20 p. (2018; Zbl 1404.90089) Full Text: DOI
Gu, Yi; Liu, Yongping Optimal recovery of multivariate functions restricted by second-order differential operator. (English) Zbl 1393.41008 Anal. Appl., Singap. 16, No. 4, 585-599 (2018). MSC: 41A44 26D10 65D15 PDF BibTeX XML Cite \textit{Y. Gu} and \textit{Y. Liu}, Anal. Appl., Singap. 16, No. 4, 585--599 (2018; Zbl 1393.41008) Full Text: DOI
Osipenko, K. Yu. Recovery of derivatives for functions defined on the semiaxis. (English) Zbl 1396.41023 J. Complexity 48, 111-118 (2018). MSC: 41A50 65D25 PDF BibTeX XML Cite \textit{K. Yu. Osipenko}, J. Complexity 48, 111--118 (2018; Zbl 1396.41023) Full Text: DOI
Borodachov, Sergiy Optimal recovery of three times differentiable functions on a convex polytope inscribed in a sphere. (English) Zbl 1400.41026 J. Approx. Theory 234, 51-63 (2018). Reviewer: Neha Malik (New Delhi) MSC: 41A50 41A63 PDF BibTeX XML Cite \textit{S. Borodachov}, J. Approx. Theory 234, 51--63 (2018; Zbl 1400.41026) Full Text: DOI
Arutyunov, A. V.; Osipenko, K. Yu. Recovering linear operators and Lagrange function minimality condition. (English. Russian original) Zbl 1396.41022 Sib. Math. J. 59, No. 1, 11-21 (2018); translation from Sib. Mat. Zh. 59, No. 1, 15-28 (2018). Reviewer: Ioan Raşa (Cluj-Napoca) MSC: 41A36 47N10 PDF BibTeX XML Cite \textit{A. V. Arutyunov} and \textit{K. Yu. Osipenko}, Sib. Math. J. 59, No. 1, 11--21 (2018; Zbl 1396.41022); translation from Sib. Mat. Zh. 59, No. 1, 15--28 (2018) Full Text: DOI
Nguyen Manh Cuong; Mai Xuan Thao Quasi-interpolation representation and sampling recovery of multivariate functions. (English) Zbl 1390.41003 Acta Math. Vietnam. 43, No. 2, 373-389 (2018). MSC: 41A05 41A46 41A63 42C40 PDF BibTeX XML Cite \textit{Nguyen Manh Cuong} and \textit{Mai Xuan Thao}, Acta Math. Vietnam. 43, No. 2, 373--389 (2018; Zbl 1390.41003) Full Text: DOI
Akopyan, R. R. Optimal recovery of a derivative of an analytic function from values of the function given with an error on a part of the boundary. (English) Zbl 1413.30002 Anal. Math. 44, No. 1, 3-19 (2018). MSC: 30A10 30C80 30C85 30E10 PDF BibTeX XML Cite \textit{R. R. Akopyan}, Anal. Math. 44, No. 1, 3--19 (2018; Zbl 1413.30002) Full Text: DOI
Abramova, Elena Vladimirovna The best recovery of the solution of the Dirichlet problem from inaccurate spectrum of the boundary function. (Russian. English summary) Zbl 1450.49020 Vladikavkaz. Mat. Zh. 19, No. 4, 3-12 (2017). MSC: 49N45 42B10 PDF BibTeX XML Cite \textit{E. V. Abramova}, Vladikavkaz. Mat. Zh. 19, No. 4, 3--12 (2017; Zbl 1450.49020) Full Text: MNR
Akopyan, Roman R. Approximation of the differentiation operator on the class of functions analytic in an annulus. (English) Zbl 1448.41028 Ural Math. J. 3, No. 2, 6-13 (2017). MSC: 41A65 30H10 41A50 PDF BibTeX XML Cite \textit{R. R. Akopyan}, Ural Math. J. 3, No. 2, 6--13 (2017; Zbl 1448.41028) Full Text: DOI MNR
Bagramyan, Tigran Optimal inversion of the noisy Radon transform on classes defined by a degree of the Laplace operator. (English) Zbl 1384.65092 J. Korean Soc. Ind. Appl. Math. 21, No. 1, 29-37 (2017). MSC: 65R10 44A12 65R32 92C55 PDF BibTeX XML Cite \textit{T. Bagramyan}, J. Korean Soc. Ind. Appl. Math. 21, No. 1, 29--37 (2017; Zbl 1384.65092)
DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw Data assimilation and sampling in Banach spaces. (English) Zbl 1393.46017 Calcolo 54, No. 3, 963-1007 (2017). Reviewer: Dirk Werner (Berlin) MSC: 46B99 41A65 94A20 PDF BibTeX XML Cite \textit{R. DeVore} et al., Calcolo 54, No. 3, 963--1007 (2017; Zbl 1393.46017) Full Text: DOI arXiv
Skrzipek, M.-R. Signal recovery by discrete approximation and a Prony-like method. (English) Zbl 1369.41028 J. Comput. Appl. Math. 326, 193-203 (2017). MSC: 41A30 41A50 49M25 65F20 90C08 94A12 PDF BibTeX XML Cite \textit{M. R. Skrzipek}, J. Comput. Appl. Math. 326, 193--203 (2017; Zbl 1369.41028) Full Text: DOI
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw Data assimilation in reduced modeling. (English) Zbl 06736493 SIAM/ASA J. Uncertain. Quantif. 5, 1-29 (2017). MSC: 62M45 65D05 68Q32 97N50 PDF BibTeX XML Cite \textit{P. Binev} et al., SIAM/ASA J. Uncertain. Quantif. 5, 1--29 (2017; Zbl 06736493) Full Text: DOI
de Morais Goulart, José Henrique; Favier, Gérard Low-rank tensor recovery using sequentially optimal modal projections in iterative hard thresholding (SeMPIHT). (English) Zbl 1365.15035 SIAM J. Sci. Comput. 39, No. 3, A860-A889 (2017). MSC: 15A69 94A08 65D18 90C59 PDF BibTeX XML Cite \textit{J. H. de Morais Goulart} and \textit{G. Favier}, SIAM J. Sci. Comput. 39, No. 3, A860--A889 (2017; Zbl 1365.15035) Full Text: DOI
Osipenko, K. Yu. Optimal recovery of linear functionals and operators. (English) Zbl 1374.41058 Commun. Appl. Math. Comput. 30, No. 4, 459-481 (2016). MSC: 41A65 PDF BibTeX XML Cite \textit{K. Yu. Osipenko}, Commun. Appl. Math. Comput. 30, No. 4, 459--481 (2016; Zbl 1374.41058) Full Text: DOI
Levit, B. Optimal methods of interpolation in nonparametric regression. (English) Zbl 1362.62090 Math. Methods Stat. 25, No. 4, 235-261 (2016). MSC: 62G08 62K05 33E05 42A15 PDF BibTeX XML Cite \textit{B. Levit}, Math. Methods Stat. 25, No. 4, 235--261 (2016; Zbl 1362.62090) Full Text: DOI
Dũng, Dinh Sampling and cubature on sparse grids based on a B-spline quasi-interpolation. (English) Zbl 1359.41001 Found. Comput. Math. 16, No. 5, 1193-1240 (2016). MSC: 41A15 41A05 41A25 41A58 41A63 PDF BibTeX XML Cite \textit{D. Dũng}, Found. Comput. Math. 16, No. 5, 1193--1240 (2016; Zbl 1359.41001) Full Text: DOI arXiv
Li, Shuanming; Lu, Yi; Jin, Can Number of jumps in two-sided first-exit problems for a compound Poisson process. (English) Zbl 1349.91146 Methodol. Comput. Appl. Probab. 18, No. 3, 747-764 (2016). MSC: 91B30 60G40 60J75 PDF BibTeX XML Cite \textit{S. Li} et al., Methodol. Comput. Appl. Probab. 18, No. 3, 747--764 (2016; Zbl 1349.91146) Full Text: DOI
Babenko, Vladyslav; Babenko, Yuliya; Kriachko, Nadiia Inequalities of Hardy-Littlewood-Pólya type for functions of operators and their applications. (English) Zbl 1350.26002 J. Math. Anal. Appl. 444, No. 1, 512-526 (2016). Reviewer: Vijay Gupta (New Delhi) MSC: 26A15 41A36 PDF BibTeX XML Cite \textit{V. Babenko} et al., J. Math. Anal. Appl. 444, No. 1, 512--526 (2016; Zbl 1350.26002) Full Text: DOI arXiv
Bagramyan, Tigran The optimal recovery of a function from an inaccurate information on its \(k\)-plane transform. (English) Zbl 1347.65200 Inverse Probl. 32, No. 6, Article ID 065004, 13 p. (2016). Reviewer: Bangti Jin (London) MSC: 65R32 44A12 65R10 PDF BibTeX XML Cite \textit{T. Bagramyan}, Inverse Probl. 32, No. 6, Article ID 065004, 13 p. (2016; Zbl 1347.65200) Full Text: DOI
Zhang, Y.; Lukyanenko, D. V.; Yagola, A. G. Using Lagrange principle for solving two-dimensional integral equation with a positive kernel. (English) Zbl 1342.35442 Inverse Probl. Sci. Eng. 24, No. 5, 811-831 (2016). MSC: 35R25 35R30 41A46 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Inverse Probl. Sci. Eng. 24, No. 5, 811--831 (2016; Zbl 1342.35442) Full Text: DOI
Maday, Y.; Mula, O.; Turinici, G. Convergence analysis of the generalized empirical interpolation method. (English) Zbl 1347.41044 SIAM J. Numer. Anal. 54, No. 3, 1713-1731 (2016). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A65 41A25 41A45 65N15 PDF BibTeX XML Cite \textit{Y. Maday} et al., SIAM J. Numer. Anal. 54, No. 3, 1713--1731 (2016; Zbl 1347.41044) Full Text: DOI arXiv
Neykov, Matey; Liu, Jun S.; Cai, Tianxi \(L_1\)-regularized least squares for support recovery of high dimensional single index models with Gaussian designs. (English) Zbl 1435.62273 J. Mach. Learn. Res. 17, Paper No. 87, 37 p. (2016). MSC: 62J07 62J12 62K05 PDF BibTeX XML Cite \textit{M. Neykov} et al., J. Mach. Learn. Res. 17, Paper No. 87, 37 p. (2016; Zbl 1435.62273) Full Text: arXiv Link
Babenko, Vladyslav; Babenko, Yuliya; Parfinovych, Nataliia; Skorokhodov, Dmytro Optimal recovery of integral operators and its applications. (English) Zbl 1416.65563 J. Complexity 35, 102-123 (2016). MSC: 65R32 65R20 45Q05 PDF BibTeX XML Cite \textit{V. Babenko} et al., J. Complexity 35, 102--123 (2016; Zbl 1416.65563) Full Text: DOI arXiv
Nikolova, Mila Relationship between the optimal solutions of least squares regularized with \(\ell_{0}\)-norm and constrained by \(k\)-sparsity. (English) Zbl 1338.90323 Appl. Comput. Harmon. Anal. 41, No. 1, 237-265 (2016). MSC: 90C26 PDF BibTeX XML Cite \textit{M. Nikolova}, Appl. Comput. Harmon. Anal. 41, No. 1, 237--265 (2016; Zbl 1338.90323) Full Text: DOI
Osipenko, K. Yu. Optimal recovery of operators and multidimensional Carlson type inequalities. (English) Zbl 1329.65328 J. Complexity 32, No. 1, 53-73 (2016). MSC: 65T40 42B15 PDF BibTeX XML Cite \textit{K. Yu. Osipenko}, J. Complexity 32, No. 1, 53--73 (2016; Zbl 1329.65328) Full Text: DOI
Wang, Heping; Wang, Kai Optimal recovery of Besov classes of generalized smoothness and Sobolev classes on the sphere. (English) Zbl 1329.41034 J. Complexity 32, No. 1, 40-52 (2016). MSC: 41A46 41A30 PDF BibTeX XML Cite \textit{H. Wang} and \textit{K. Wang}, J. Complexity 32, No. 1, 40--52 (2016; Zbl 1329.41034) Full Text: DOI
Unuchek, Svetlana Aleksandrovna On optimal recovery of the operator of \(k\)-th divided difference from its inaccurately given Fourier transform. (Russian. English summary) Zbl 1474.42003 Vladikavkaz. Mat. Zh. 17, No. 3, 84-92 (2015). MSC: 42A05 41A50 42A10 42A38 PDF BibTeX XML Cite \textit{S. A. Unuchek}, Vladikavkaz. Mat. Zh. 17, No. 3, 84--92 (2015; Zbl 1474.42003) Full Text: MNR
Abramova, Elena Vladimirovna On optimal recovery of Dirichlet problem from a boundary function known approximately. (Russian. English summary) Zbl 1474.42004 Vladikavkaz. Mat. Zh. 17, No. 1, 3-13 (2015). MSC: 42A10 31A10 41A46 41A50 41A30 PDF BibTeX XML Cite \textit{E. V. Abramova}, Vladikavkaz. Mat. Zh. 17, No. 1, 3--13 (2015; Zbl 1474.42004) Full Text: MNR
Huang, Zexia; Wang, Heping Optimal recovery of functions on the sphere on a Sobolev spaces with a Gaussian measure in the average case setting. (English) Zbl 1349.41029 Anal. Theory Appl. 31, No. 2, 154-166 (2015). MSC: 41A35 41A65 PDF BibTeX XML Cite \textit{Z. Huang} and \textit{H. Wang}, Anal. Theory Appl. 31, No. 2, 154--166 (2015; Zbl 1349.41029) Full Text: DOI
Subbotina, N. N.; Tokmantsev, T. B. A study of the stability of solutions to inverse problems of dynamics of control systems under perturbations of initial data. (English. Russian original) Zbl 1334.49112 Proc. Steklov Inst. Math. 291, Suppl. 1, S173-S189 (2015); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 3, 218-233 (2014). MSC: 49N45 91A24 PDF BibTeX XML Cite \textit{N. N. Subbotina} and \textit{T. B. Tokmantsev}, Proc. Steklov Inst. Math. 291, S173--S189 (2015; Zbl 1334.49112); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 3, 218--233 (2014) Full Text: DOI
Zhang, Ye; Lukyanenko, Dmitry V.; Yagola, Anatoly G. An optimal regularization method for convolution equations on the sourcewise represented set. (English) Zbl 1325.45005 J. Inverse Ill-Posed Probl. 23, No. 5, 465-475 (2015). MSC: 45E10 47A52 65R30 PDF BibTeX XML Cite \textit{Y. Zhang} et al., J. Inverse Ill-Posed Probl. 23, No. 5, 465--475 (2015; Zbl 1325.45005) Full Text: DOI
Cai, T. Tony; Zhang, Anru ROP: matrix recovery via rank-one projections. (English) Zbl 1308.62120 Ann. Stat. 43, No. 1, 102-138 (2015). MSC: 62H12 62H35 62C20 PDF BibTeX XML Cite \textit{T. T. Cai} and \textit{A. Zhang}, Ann. Stat. 43, No. 1, 102--138 (2015; Zbl 1308.62120) Full Text: DOI arXiv Euclid
Bagramyan, T. E. On a problem of optimal recovery and Kolmogorov type inequalities on an interval. (English) Zbl 1311.41020 J. Approx. Theory 189, 160-169 (2015). Reviewer: Yamilet del Carmen Quintana Mato (Caracas) MSC: 41A50 41A17 PDF BibTeX XML Cite \textit{T. E. Bagramyan}, J. Approx. Theory 189, 160--169 (2015; Zbl 1311.41020) Full Text: DOI
Babenko, Vladislav F.; Churilova, Mariya S.; Parfinovych, Nataliia V.; Skorokhodov, Dmytro S. Kolmogorov type inequalities for the Marchaud fractional derivatives on the real line and the half-line. (English) Zbl 1336.26021 J. Inequal. Appl. 2014, Paper No. 504, 29 p. (2014). MSC: 26D10 26A33 PDF BibTeX XML Cite \textit{V. F. Babenko} et al., J. Inequal. Appl. 2014, Paper No. 504, 29 p. (2014; Zbl 1336.26021) Full Text: DOI arXiv
Brett, Charles; Elliott, Charles M.; Dedner, Andreas S. Phase field methods for binary recovery. (English) Zbl 1320.49024 Hoppe, Ronald (ed.), Optimization with PDE constraints. ESF networking program ‘OPTPDE’. Cham: Springer (ISBN 978-3-319-08024-6/hbk; 978-3-319-08025-3/ebook). Lecture Notes in Computational Science and Engineering 101, 25-63 (2014). MSC: 49N45 49M25 65K10 68U10 PDF BibTeX XML Cite \textit{C. Brett} et al., Lect. Notes Comput. Sci. Eng. 101, 25--63 (2014; Zbl 1320.49024) Full Text: DOI arXiv
Babenko, V. F.; Parfinovich, N. V.; Pichugov, S. A. Kolmogorov-type inequalities for norms of Riesz derivatives of functions of several variables with Laplacian bounded in \(L_\infty\) and related problems. (English. Russian original) Zbl 1314.41006 Math. Notes 95, No. 1, 3-14 (2014); translation from Mat. Zametki 95, No. 1, 3-17 (2014). MSC: 41A17 PDF BibTeX XML Cite \textit{V. F. Babenko} et al., Math. Notes 95, No. 1, 3--14 (2014; Zbl 1314.41006); translation from Mat. Zametki 95, No. 1, 3--17 (2014) Full Text: DOI