Ait-Haddou, Rachid; Mazure, Marie-Laurence De Casteljau’s geometric approach to geometric design still alive. (English) Zbl 07923123 Comput. Aided Geom. Des. 113, Article ID 102378, 27 p. (2024). MSC: 65D17 65D07 41A50 41A20 47A58 × Cite Format Result Cite Review PDF Full Text: DOI
Tu, Qiang; Mu, Xiaohuan; Guo, Tiexin The random Markov-Kakutani fixed point theorem in a random locally convex module. (English) Zbl 07922018 New York J. Math. 30, 1196-1219 (2024). MSC: 47-XX 46H25 41A50 47H10 46A22 × Cite Format Result Cite Review PDF Full Text: Link OA License
Digar, Abhik Best approximations in metric spaces with property strongly UC. (English) Zbl 07919742 Adv. Oper. Theory 9, No. 2, Paper No. 24, 18 p. (2024). MSC: 47H10 41A50 41A65 54H25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Unni, A. Sreelakshmi; Pragadeeswarar, V. Common best proximity point theorems in Hausdorff topological spaces. (English) Zbl 07917618 J. Inequal. Appl. 2024, Paper No. 91, 11 p. (2024). MSC: 54H25 47H10 41A65 54E40 54E50 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Matsumoto, Yasuhiro Fast wavefield evaluation method based on modified proxy-surface-accelerated interpolative decomposition for two-dimensional scattering problems. (English) Zbl 07910140 JSIAM Lett. 16, 61-64 (2024). MSC: 65N38 78A45 78M15 78M16 65D05 41A50 31A10 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jesmani, S. M.; Mazaheri, H.; Shojaeain, Saman Wavelet approximation with Chebyshev wavelets. (English) Zbl 07908529 Iran. J. Numer. Anal. Optim. 14, No. 1, 315-329 (2024). MSC: 41A65 41A52 46N10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Goswami, Nilakshi; Roy, Raju Best proximity point results for generalized proximal \(Z\)-contraction mappings in metric spaces and some applications. (English) Zbl 07905370 Bol. Soc. Parana. Mat. (3) 42, Paper No. 91, 14 p. (2024). MSC: 47H10 41A65 54H25 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Fengyang; Xie, Jiangming; Zheng, Chunxiong Sparsifiable spectral equivalence of DtN mapping and its application to elliptic problems. (English) Zbl 07900326 J. Comput. Appl. Math. 452, Article ID 116114, 16 p. (2024). MSC: 65N30 65N55 65F08 65F50 65T50 35J25 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Akhavan Armaki, Akram; Pashapournia, Ali; Soleimani Rad, Ghasem Best proximity points of graphical \((\varphi-\psi)\)-weak contractive mappings and applications to graphical integral-type inequalities. (English) Zbl 07900278 J. Nonlinear Convex Anal. 25, No. 7, 1777-1789 (2024). MSC: 41A52 41A65 05C40 47H10 × Cite Format Result Cite Review PDF Full Text: Link
Fedunyk-Yaremchuk, O. V.; Hembars’ka, S. B.; Romanyuk, I. A.; Zaderei, P. V. Approximation characteristics of the Nikol’skii-Besov-type classes of periodic functions of several variables in the space \(B_{q , 1}\). (English) Zbl 07898625 Carpathian Math. Publ. 16, No. 1, 158-173 (2024). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A10 41A46 41A50 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Akishev, Gabdolla Estimates of \(M\)-term approximations of functions of several variables in the Lorentz space by a constructive method. (English) Zbl 07896573 Eurasian Math. J. 15, No. 2, 8-32 (2024). MSC: 41A10 41A25 42A05 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Hatinoğlu, Burak Spectral bounds for periodic Jacobi matrices. (English) Zbl 07892872 Proc. Am. Math. Soc. 152, No. 9, 3915-3922 (2024). MSC: 47B36 47E05 41A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sohel, Shamim; Ghosh, Souvik; Sain, Debmalya; Paul, Kallol On some special subspaces of a Banach space, from the perspective of best coapproximation. (English) Zbl 07891504 Monatsh. Math. 204, No. 4, 969-987 (2024). MSC: 41A65 46B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Levis, F. E.; Ridolfi, C. V.; Zabala, L. Corrigendum to: “Strong uniqueness and alternation theorems for relative Chebyshev centers”. (English) Zbl 07890201 J. Approx. Theory 302, Article ID 106067, 5 p. (2024). MSC: 41A28 41A45 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Volosivets, S. S. Riesz-Zygmund means and approximation in variable exponent grand spaces. (English) Zbl 07887443 Result. Math. 79, No. 5, Paper No. 188, 17 p. (2024). MSC: 42A10 41A17 41A50 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Akopyan, R. R.; Arestov, V. V.; Timofeev, V. G. Stechkin’s problem on approximation of the differentiation operator in the uniform norm on the half-line. (English. Russian original) Zbl 07885087 Math. Notes 115, No. 6, 853-867 (2024); translation from Mat. Zametki 115, No. 6, 807-824 (2024). Reviewer: Antonio López-Carmona (Granada) MSC: 41A15 × Cite Format Result Cite Review PDF Full Text: DOI
Langarshoev, M. R.; Aydarmamadov, A. G. The best approximation of functions analytic in the unit circle in weighted Bergman space. (Russian. English summary) Zbl 07879494 Dal’nevost. Mat. Zh. 24, No. 1, 55-66 (2024). MSC: 42A10 41A17 41A44 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Potseĭko, Pavel Gennad’evich; Rovba, Evgeniĭ Alekseevich On approximations of a singular integral on a segment by Fourier-Chebyshev’s rational integral operators. (Russian. English summary) Zbl 07878759 Dokl. Nats. Akad. Nauk Belarusi 68, No. 2, 95-104 (2024). Reviewer: V. L. Leontiev (Sankt-Peterburg) MSC: 41A20 42A10 41A50 × Cite Format Result Cite Review PDF Full Text: Link
Li, Lin; Ye, Yangyi; Li, Huiyuan An adaptive orthogonal basis method for computing multiple solutions of differential equations with polynomial nonlinearities. (English) Zbl 07878710 J. Sci. Comput. 100, No. 1, Paper No. 11, 28 p. (2024). MSC: 65N35 65N22 65K10 65H10 65N99 65N12 49J35 41A50 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shklyaev, K. S. On locally Chebyshev sets. (English. Russian original) Zbl 07878685 Math. Notes 115, No. 4, 636-641 (2024); translation from Mat. Zametki 115, No. 4, 626-633 (2024). Reviewer: T.S.S.R.K. Rao (Bangalore) MSC: 41A50 46B20 × Cite Format Result Cite Review PDF Full Text: DOI
Borodin, P. A.; Ershov, A. M. S. R. Nasyrov’s problem of approximation by simple partial fractions on an interval. (English. Russian original) Zbl 07878672 Math. Notes 115, No. 4, 520-527 (2024); translation from Mat. Zametki 115, No. 4, 568-577 (2024). Reviewer: T.S.S.R.K. Rao (Bangalore) MSC: 41A50 46B20 30E10 × Cite Format Result Cite Review PDF Full Text: DOI
Banjac, Bojan; Malešević, Branko; Mićović, Miloš; Mihailović, Bojana; Savatović, Milica The best possible constants approach for Wilker-Cusa-Huygens inequalities via stratification. (English) Zbl 07877085 Appl. Anal. Discrete Math. 18, No. 1, 244-288 (2024). MSC: 68V15 41A44 26D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guan, Li; Li, Mengxiao The best mean square approximation of multivalued random variables. (English) Zbl 07874926 J. Nonlinear Convex Anal. 25, No. 4, 871-878 (2024). MSC: 62Jxx × Cite Format Result Cite Review PDF Full Text: Link
Mohit; Jain, Ranjana Birkhoff-James orthogonality in certain tensor products of Banach spaces. II. (English) Zbl 07871748 Banach J. Math. Anal. 18, No. 3, Paper No. 47, 16 p. (2024). MSC: 46B20 46B28 46E40 46G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bergman, Alex; Rubin, Olof Chebyshev polynomials corresponding to a vanishing weight. (English) Zbl 07870170 J. Approx. Theory 301, Article ID 106048, 25 p. (2024). MSC: 41A50 30C10 30A10 26D05 41A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Censor, Yair; Mansour, Rafiq; Reem, Daniel The alternating simultaneous Halpern-Lions-Wittmann-Bauschke algorithm for finding the best approximation pair for two disjoint intersections of convex sets. (English) Zbl 07870167 J. Approx. Theory 301, Article ID 106045, 22 p. (2024). Reviewer: Richard A. Zalik (Auburn) MSC: 41A50 41A65 90C25 46N10 47N10 41A52 47H09 47H10 46C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alimov, A. R. Balayage theorems for connectedness problems in uniformly convex spaces. (English) Zbl 07868789 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 50, No. 1, 53-61 (2024). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 41A65 46B20 46N10 × Cite Format Result Cite Review PDF Full Text: DOI
Dautov, R. Z. Theorems on direct and inverse approximation by algebraic polynomials and piecewise polynomials in the spaces \(H^m(a,b)\) and \(B_{2,q}^s(a,b)\). (English. Russian original) Zbl 07868685 Russ. Math. 68, No. 1, 11-29 (2024); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2024, No. 1, 14-34 (2024). MSC: 41A10 41A17 41A27 41A81 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Chauhan, Om Prakash; Chaudhary, Basant; Atre, Harsha Proximal type convergence results using implicit relation and applications. (English) Zbl 07868040 Nonlinear Funct. Anal. Appl. 29, No. 1, 209-224 (2024). MSC: 47H10 41A52 × Cite Format Result Cite Review PDF Full Text: Link
Langarshoev, Mukhtor Ramazonovich The best approximation of analytic in a unit circle functions in the Bergman weight space \(\mathscr{B}_{2,\mu} \). (Russian. English summary) Zbl 07864599 Vestn. Ross. Univ., Mat. 29, No. 145, 65-76 (2024). MSC: 30E05 30E10 42A10 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Vexler, Boris; Wagner, Jakob Error estimates for finite element discretizations of the instationary Navier-Stokes equations. (English) Zbl 1541.35353 ESAIM, Math. Model. Numer. Anal. 58, No. 2, 457-488 (2024). MSC: 35Q30 76D05 76M10 65M60 65M15 65M22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jalali Ghamsari, Hooriye Sadat; Dehghani, Mahdi Characterization of \(a\)-Birkhoff-James orthogonality in \(C^*\)-algebras and its applications. (English) Zbl 07859574 Ann. Funct. Anal. 15, No. 2, Paper No. 36, 20 p. (2024). MSC: 46B20 46L05 41A50 46L36 × Cite Format Result Cite Review PDF Full Text: DOI
Schleischitz, Johannes Metrical results on the geometry of best approximations for a linear form. I. (English) Zbl 07856588 Acta Arith. 213, No. 1, 59-74 (2024). Reviewer: Matthias Schymura (Cottbus) MSC: 11J13 11H06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Occorsio, Donatella; Russo, Maria Grazia; Themistoclakis, Woula On solving some Cauchy singular integral equations by de la Vallée Poussin filtered approximation. (English) Zbl 1539.65204 Appl. Numer. Math. 200, 358-378 (2024). Reviewer: Manfred Tasche (Rostock) MSC: 65R20 45E05 41A10 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Moshchevitin, Nikolay Best approximation vectors for completely irrational subspaces. (English) Zbl 07854572 Colloq. Math. 175, No. 1, 1-11 (2024). MSC: 11J13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eichinger, Benjamin; Lukić, Milivoje; Young, Giorgio Asymptotics of Chebyshev rational functions with respect to subsets of the real line. (English) Zbl 1539.41028 Constr. Approx. 59, No. 3, 541-581 (2024). Reviewer: Klaus Schiefermayr (Wels) MSC: 41A50 30E15 30C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mahjoub, Moncef; Mdimagh, Ridha The inverse problem of dipolar source identification from incomplete boundary measurements. (English) Zbl 1539.35293 Math. Methods Appl. Sci. 47, No. 4, 2728-2752 (2024). MSC: 35R30 65N21 78A46 × Cite Format Result Cite Review PDF Full Text: DOI
Pitchaimani, M.; Saravanan, K. Invariant approximation in 2-Banach space with \(H^+\) mappings. (English) Zbl 07846864 Afr. Mat. 35, No. 1, Paper No. 28, 14 p. (2024). MSC: 47H10 54H25 37C25 × Cite Format Result Cite Review PDF Full Text: DOI
Farkas, Bálint; Nagy, Béla; Révész, Szilárd Gy. A homeomorphism theorem for sums of translates. (English) Zbl 07845671 Rev. Mat. Complut. 37, No. 2, 341-389 (2024). MSC: 41A50 41A52 42A15 26A51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Das, Syamantak; Paul, Tanmoy On property-\((R_1)\) and relative Chebyshev centers in Banach spaces. II. (English) Zbl 1539.41018 Quaest. Math. 47, No. 2, 461-476 (2024). Reviewer: T.S.S.R.K. Rao (Bangalore) MSC: 41A28 41A65 46B20 41A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Laktionova, N. V.; Runovskii, K. V. Approximation of periodic functions of high generalized smoothness by Fourier sums. (English. Russian original) Zbl 1540.42001 Math. Notes 115, No. 2, 275-278 (2024); translation from Mat. Zametki 115, No. 2, 304-307 (2024). Reviewer: Włodzimierz Łenski (Poznań) MSC: 42A10 41A50 41A25 26A24 × Cite Format Result Cite Review PDF Full Text: DOI
Mardvilko, T. S. Uniform rational approximation of even and odd continuations of functions. (English. Russian original) Zbl 1539.41016 Math. Notes 115, No. 2, 215-222 (2024); translation from Mat. Zametki 115, No. 2, 257-265 (2024). MSC: 41A20 41A25 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Leont’eva, A. O. Bernstein inequality for the Riesz derivative of order \(0<\alpha<1\) of entire functions of exponential type in the uniform norm. (English. Russian original) Zbl 1541.41010 Math. Notes 115, No. 2, 205-214 (2024); translation from Mat. Zametki 115, No. 2, 245-256 (2024). Reviewer: D. K. Ugulava (Tbilisi) MSC: 41A17 41A44 × Cite Format Result Cite Review PDF Full Text: DOI
Ansari, Khursheed J.; Izadi, Mohammad; Noeiaghdam, Samad Enhancing the accuracy and efficiency of two uniformly convergent numerical solvers for singularly perturbed parabolic convection-diffusion-reaction problems with two small parameters. (English) Zbl 1541.65118 Demonstr. Math. 57, Article ID 20230144, 23 p. (2024). MSC: 65M70 65M20 65N35 65N12 41A10 41A50 35B25 35K20 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Cheung, Yitwah; Chevallier, Nicolas Lévy-Khintchin theorem for best simultaneous Diophantine approximations. (Théorème de Lévy-Khintchin pour les meilleures approximations diophantiennes simultanées.) (English. French summary) Zbl 07837750 Ann. Sci. Éc. Norm. Supér. (4) 57, No. 1, 185-240 (2024). Reviewer: Enrico Zoli (Faenza) MSC: 11J13 11J83 11K55 37A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Golikova, Ia. S. Calculation of constants in lemma on pseudometric for one-dimensional method of smooth triangular functions. (English. Russian original) Zbl 1537.65008 J. Math. Sci., New York 281, No. 1, 59-64 (2024); translation from Zap. Nauchn. Semin. POMI 505, 87-93 (2021). MSC: 65D15 41A45 41A44 × Cite Format Result Cite Review PDF Full Text: DOI
Bosner, Tina High order approximation by CCC-spline quasi-interpolants. (English) Zbl 1539.41011 J. Comput. Appl. Math. 442, Article ID 115715, 22 p. (2024). Reviewer: D. K. Ugulava (Tbilisi) MSC: 41A15 41A25 41A50 65D07 65D15 65L10 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Cuiyun; Qian, Tao Frequency analysis with multiple kernels and complete dictionary. (English) Zbl 07832824 Appl. Math. Comput. 466, Article ID 128477, 24 p. (2024). MSC: 65D15 30H10 42C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Neta, Beny Comparison of several numerical solvers for a discretized nonlinear diffusion model with source terms. (English) Zbl 1536.65085 Georgian Math. J. 31, No. 2, 331-338 (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N35 65N06 65N30 65D32 65H10 65T50 65F50 65M12 35R09 45K05 41A50 35K55 35A01 35A02 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Mannix, Paul M.; Skene, Calum S.; Auroux, Didier; Marcotte, Florence A robust, discrete-gradient descent procedure for optimisation with time-dependent PDE and norm constraints. (English) Zbl 1536.65119 SMAI J. Comput. Math. 10, 1-28 (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M70 65M06 65N35 65K10 65M12 65M15 76W05 86A30 49M41 41A60 41A50 93C20 15A15 35Q35 35Q86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Carneiro, Emanuel; Littmann, Friedrich Monotone extremal functions and the weighted Hilbert’s inequality. (English) Zbl 07828353 Port. Math. 81, No. 1-2, 127-134 (2024). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A29 41A30 41A44 15A63 11N35 41-01 42A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Sarkar, Deb; Bhardwaj, Ramakant; Rathore, Vandana; Konar, Pulak Optimal conditions using multi-valued \(\mathbb{G}\)-Prešić type mapping. (English) Zbl 07826391 Aust. J. Math. Anal. Appl. 21, No. 1, Paper No. 5, 10 p. (2024). MSC: 47H10 54H10 54H25 41A50 46Txx × Cite Format Result Cite Review PDF Full Text: Link
Sivkova, E. O. Optimal recovery of a family of operators from inaccurate measurements on a compact set. (English. Russian original) Zbl 1535.41026 Sib. Math. J. 65, No. 2, 495-504 (2024); translation from Vladikavkaz. Mat. Zh. 25, No. 2, 124-135 (2023). MSC: 41A50 35K05 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Abramova, E. V.; Sivkova, E. O. On the optimal recovery of one family of operators on a class of functions from approximate information about its spectrum. (English. Russian original) Zbl 1539.42008 Sib. Math. J. 65, No. 2, 245-256 (2024); translation from Sib. Mat. Zh. 65, No. 2, 235-248 (2024). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 42B10 35J05 35K05 41A30 41A50 42A10 49N45 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Doehring, Daniel; Gassner, Gregor J.; Torrilhon, Manuel Many-stage optimal stabilized Runge-Kutta methods for hyperbolic partial differential equations. (English) Zbl 1535.65163 J. Sci. Comput. 99, No. 1, Paper No. 28, 40 p. (2024). Reviewer: Bülent Karasözen (Ankara) MSC: 65M20 65L06 65M06 65N50 65N30 65D07 65K10 65F15 49M41 41A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Shah, Farman Ali; Kamran; Shah, Kamal; Abdeljawad, Thabet Numerical modelling of advection diffusion equation using Chebyshev spectral collocation method and Laplace transform. (English) Zbl 1535.65237 Results Appl. Math. 21, Article ID 100420, 16 p. (2024). MSC: 65M70 44A10 65N35 41A50 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Carstensen, Carsten; Gräßle, Benedikt; Nataraj, Neela Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation. (English) Zbl 1534.65232 J. Numer. Math. 32, No. 1, 77-109 (2024). MSC: 65N30 65N12 65N15 65N50 31A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ali, Ali Hasan; Páles, Zsolt Estimates of linear expressions through factorization. (English) Zbl 07818442 J. Approx. Theory 299, Article ID 106019, 23 p. (2024). MSC: 41A50 41A55 41A80 65D32 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Mohebi, Hossein; Bakhtiari, Hassan Best approximation with geometric constraints. (English) Zbl 1537.41019 Arab. J. Math. 13, No. 1, 163-180 (2024). Reviewer: Ravindra Kishor Bisht (Pune) MSC: 41A50 41A29 90C26 90C46 90C34 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Savchuk, Viktor V.; Chaichenko, Stanislav O.; Shydlich, Andrii L. Extreme problems of weight approximation on the real axis. (English. Ukrainian original) Zbl 1537.41010 J. Math. Sci., New York 279, No. 1, 104-114 (2024); translation from Ukr. Mat. Visn. 20, No. 4, 593-606 (2023). Reviewer: Fahreddin Abdullayev (Mersin) MSC: 41A20 30D99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kovalenko, Oleg On a general approach to some problems of approximation of operators. (English) Zbl 07815331 J. Math. Sci., New York 279, No. 1, 67-76 (2024); and Ukr. Mat. Visn. 20, No. 4, 544-556 (2023). Reviewer: Radu Păltănea (Braşov) MSC: 41A65 26D10 26D99 47H99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Jin; Cheng, Yongling Spectral collocation method for convection-diffusion equation. (English) Zbl 1534.65204 Demonstr. Math. 57, Article ID 20230110, 13 p. (2024). MSC: 65M70 65D05 41A25 41A50 31A30 76R50 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Liu, Jian-Guo; Wang, Jinhuan The best constant for \(L^{\infty}\)-type Gagliardo-Nirenberg inequalities. (English) Zbl 1534.39016 Q. Appl. Math. 82, No. 2, 305-338 (2024). MSC: 39B62 41A44 × Cite Format Result Cite Review PDF Full Text: DOI
Tyr, Othman Bernstein’s inequalities and Jackson’s inverse theorems in the Laguerre hypergroup. (English) Zbl 07811285 Anal. Math. Phys. 14, No. 2, Paper No. 11, 20 p. (2024). MSC: 43A62 22E30 33D15 41A17 × Cite Format Result Cite Review PDF Full Text: DOI
Fan, Feiting; Wei, Minzhi Traveling waves in a quintic BBM equation under both distributed delay and weak backward diffusion. (English) Zbl 1533.35297 Physica D 458, Article ID 133995, 11 p. (2024). MSC: 35Q53 35Q35 35C07 35C08 35B10 35B25 35A01 35A02 35R07 41A50 14K10 × Cite Format Result Cite Review PDF Full Text: DOI
Payuchenko, N. S. The sharp Landau-Kolmogorov inequality for the set \(\| y^\prime \|_2, \| y \|_1, \| y_+^{\prime \prime} \|_\infty\) on the real line. (English) Zbl 07806801 J. Approx. Theory 298, Article ID 105996, 13 p. (2024). Reviewer: Alexander Tovstolis (Winter Springs) MSC: 41A17 41A44 × Cite Format Result Cite Review PDF Full Text: DOI
Tyr, Othman; Daher, Radouan Jackson’s inequalities in Mellin’s analysis. (English) Zbl 07806056 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 70, No. 1, 141-160 (2024). Reviewer: S. L. Kalla (Chesterfield) MSC: 44A15 41A17 41A27 × Cite Format Result Cite Review PDF Full Text: DOI
Potseiko, P. G.; Rovba, E. A. The Riesz-Zygmund sums of Fourier-Chebyshev rational integral operators and their approximation properties. (English. Russian original) Zbl 1541.42002 Sib. Math. J. 65, No. 1, 118-138 (2024); translation from Sib. Mat. Zh. 65, No. 1, 140-163 (2024). MSC: 42A10 42C10 42A38 × Cite Format Result Cite Review PDF Full Text: DOI
Khan, Akhtar A.; Li, Jinlu Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces. (English) Zbl 1535.41009 J. Approx. Theory 297, Article ID 105973, 17 p. (2024). Reviewer: T.S.S.R.K. Rao (Bangalore) MSC: 41A10 41A50 47A05 58C06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Leykekhman, Dmitriy; Vexler, Boris \(L^2(I;H^1(\Omega)^d)\) and \(L^2(I;L^2(\Omega)^d)\) best approximation type error estimates for Galerkin solutions of transient Stokes problems. (English) Zbl 1537.65134 Calcolo 61, No. 1, Paper No. 7, 22 p. (2024). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M60 65N30 65M15 35K05 35K20 35D30 35B65 76D07 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fusi, Lorenzo; Calusi, Benedetta; Giovinetto, Antonio; Panconi, Leonardo Mathematical modelling of a slow flameless combustion of a two-dimensional paper. (English) Zbl 1532.35447 Z. Angew. Math. Phys. 75, No. 1, Paper No. 21, 16 p. (2024). MSC: 35Q79 35Q35 80A25 80A32 80A19 76G25 76N15 65M70 65D30 65H10 41A50 35K05 35K57 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Heydari, M. H.; Zhagharian, Sh.; Razzaghi, M. Discrete Chebyshev polynomials for the numerical solution of stochastic fractional two-dimensional Sobolev equation. (English) Zbl 1531.65197 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107742, 13 p. (2024). MSC: 65M70 60H15 41A50 26A33 35R11 35R60 76A05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Roshchina, Vera; Sukhorukova, Nadezda; Ugon, Julien Uniqueness of solutions in multivariate Chebyshev approximation problems. (English) Zbl 1535.41010 Optim. Lett. 18, No. 1, 33-55 (2024). MSC: 41A10 41A52 41A63 49K30 49K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Boschi, Martina; Ritelli, Daniele; Spaletta, Giulia Exact time-integral inversion via Čebyšëv quintic approximations for nonlinear oscillators. (English) Zbl 1540.34078 J. Math. Anal. Appl. 533, No. 1, Article ID 128015, 16 p. (2024). MSC: 34C15 34A45 33C75 41A50 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Sain, Debmalya; Sohel, Shamim; Ghosh, Souvik; Paul, Kallol On the best coapproximation problem in \(\ell_1^n\). (English) Zbl 07790398 Linear Multilinear Algebra 72, No. 1, 31-49 (2024). MSC: 46B20 41A65 × Cite Format Result Cite Review PDF Full Text: DOI
Barary, Zeinab; Cherati, AllahBakhsh Yazdani; Nemati, Somayeh An efficient numerical scheme for solving a general class of fractional differential equations via fractional-order hybrid Jacobi functions. (English) Zbl 1532.65115 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107599, 14 p. (2024). MSC: 65N35 65N15 41A50 33C45 65F05 74F10 74K20 35Q74 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Karp, Steven N. Wronskians, total positivity, and real Schubert calculus. (English) Zbl 1539.41029 Sel. Math., New Ser. 30, No. 1, Paper No. 1, 28 p. (2024). Reviewer: Richard A. Zalik (Auburn) MSC: 41A50 14M15 15B48 14N15 14P05 34C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Xu, Guiqiao; Liu, Yongping; Guo, Dandan A kind of sharp Wirtinger inequalities. (English) Zbl 1529.26016 Int. J. Wavelets Multiresolut. Inf. Process. 22, No. 1, Article ID 2350036, 17 p. (2024). MSC: 26D10 41A44 41A80 × Cite Format Result Cite Review PDF Full Text: DOI
Nasiri, T.; Zakeri, A.; Aminataei, A. A numerical solution for a quasi solution of the time-fractional stochastic backward parabolic equation. (English) Zbl 1527.65088 J. Comput. Appl. Math. 437, Article ID 115441, 20 p. (2024). Reviewer: Abdallah Bradji (Annaba) MSC: 65M32 65M30 65M06 65T60 65K10 65J20 65F22 65M12 65M15 60G22 35A15 41A50 35A01 35A02 35R30 26A33 35R11 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
C, Arunachala Prasath; Thota, Vamsinadh Characterizations of some rotund properties in terms of farthest points. arXiv:2409.08697 Preprint, arXiv:2409.08697 [math.FA] (2024). MSC: 46B20 41A65 41A52 × Cite Format Result Cite Full Text: arXiv OA License
Christiansen, Jacob S.; Rubin, Olof Chebyshev polynomials related to Jacobi weights. arXiv:2409.02623 Preprint, arXiv:2409.02623 [math.CA] (2024). MSC: 41A50 30C10 33C45 × Cite Format Result Cite Full Text: arXiv OA License
Babenko, Vladyslav; Babenko, Vira; Kovalenko, Oleg Ostrowski-type inequalities in abstract distance spaces. arXiv:2408.15579 Preprint, arXiv:2408.15579 [math.FA] (2024). MSC: 41A65 41A17 41A44 × Cite Format Result Cite Full Text: arXiv OA License
Alpan, Gökalp; Zinchenko, Maxim Lower Bounds for Weighted Chebyshev and Orthogonal Polynomials. arXiv:2408.11496 Preprint, arXiv:2408.11496 [math.CA] (2024). MSC: 41A17 41A44 42C05 33C45 × Cite Format Result Cite Full Text: arXiv OA License
Tran, Hoang Anh; Toh, Kim-Chuan Convergence rates of S.O.S hierarchies for polynomial semidefinite programs. arXiv:2406.12013 Preprint, arXiv:2406.12013 [math.OC] (2024). MSC: 90C22 90C26 41A10 41A50 × Cite Format Result Cite Full Text: arXiv OA License
Benavente, Ana; Ponce, Juan Costa; Favier, Sergio On the uniqueness of best approximation in Orlicz spaces. arXiv:2406.10021 Preprint, arXiv:2406.10021 [math.FA] (2024). MSC: 46E30 41A10 41A50 × Cite Format Result Cite Full Text: arXiv OA License
Zheng, Ruigang; Zhuang, Xiaosheng On the existence and estimates of nested spherical designs. arXiv:2405.10607 Preprint, arXiv:2405.10607 [math.FA] (2024). MSC: 41A10 41A44 41A55 65D32 × Cite Format Result Cite Full Text: arXiv OA License
Lopushansky, Oleh Some exact constants for bilateral approximations in quasi-normed groups. arXiv:2405.09775 Preprint, arXiv:2405.09775 [math.FA] (2024). MSC: 42B35 41A44 41A17 46B70 × Cite Format Result Cite Full Text: arXiv OA License
Rubin, Olof Computing Chebyshev polynomials using the complex Remez algorithm. arXiv:2405.05067 Preprint, arXiv:2405.05067 [math.CV] (2024). MSC: 41A50 65E05 30C10 × Cite Format Result Cite Full Text: arXiv OA License
Pozharska, K. V.; Romanyuk, A. S. Estimates for the approximation characteristics of the Nikol’skii-Besov classes of functions with mixed smoothness in the space \(B_{q,1}\). arXiv:2404.05451 Preprint, arXiv:2404.05451 [math.CA] (2024). MSC: 41A46 41A50 42A10 × Cite Format Result Cite Full Text: arXiv OA License
Gromyak, M. I.; Radchenko, O. Ya.; Yanchenko, S. Ya. Approximation of functions of many variables from the generalization Nikol’skii-Besov type classes in the uniform and integral metrics. arXiv:2403.18414 Preprint, arXiv:2403.18414 [math.CA] (2024). MSC: 41A30 41A50 41A63 42A38 × Cite Format Result Cite Full Text: arXiv OA License
Krivulin, Nikolai On solution of tropical discrete best approximation problems. arXiv:2403.16337 Preprint, arXiv:2403.16337 [math.NA] (2024). MSC: 15A80 90C24 41A50 41A65 65D15 × Cite Format Result Cite Full Text: arXiv OA License
Krieg, David; Pozharska, Kateryna; Ullrich, Mario; Ullrich, Tino Sampling projections in the uniform norm. arXiv:2401.02220 Preprint, arXiv:2401.02220 [math.FA] (2024). MSC: 41A65 41A50 46B09 × Cite Format Result Cite Full Text: arXiv OA License
Zhang, Lei-Hong; Han, Shanheng Convergence analysis of Lawson’s iteration for the polynomial and rational minimax approximations. arXiv:2401.00778 Preprint, arXiv:2401.00778 [math.NA] (2024). MSC: 41A50 41A20 65D15 90C46 × Cite Format Result Cite Full Text: arXiv OA License
Sriwastav, Nikhil; Barnwal, Amit K.; Ramos, Higinio; Agarwal, Ravi P.; Singh, Mehakpreet New approach based on collocation and shifted Chebyshev polynomials for a class of three-point singular BVPs. (English) Zbl 07920416 J. Appl. Anal. Comput. 13, No. 4, 2162-2183 (2023). MSC: 34B05 34B15 34B16 34B18 34B60 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Fang, Quanlei; Xia, Jingbo Best approximations in a class of Lorentz ideals. (English) Zbl 07918446 Albrecht, Ernst (ed.) et al., Multivariable operator theory. The Jörg Eschmeier memorial volume. Cham: Birkhäuser. 419-443 (2023). MSC: 41A50 47B10 47B35 × Cite Format Result Cite Review PDF Full Text: DOI
Bozhonok, K. V. Algorithm for the polynomial approximation of the Abel differential equation solutions. (Ukrainian. English summary) Zbl 07909375 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. Inform. 42, No. 1, 25-33 (2023). MSC: 65L05 41A10 34A45 × Cite Format Result Cite Review PDF Full Text: DOI
Fodor, Valerian-Alin; Popovici, Nicolae Reducing the complexity of equilibrium problems and applications to best approximation problems. (English) Zbl 07897354 Stud. Univ. Babeș-Bolyai, Math. 68, No. 3, 649-661 (2023). MSC: 52A20 41A50 46N10 90C33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ricceri, Biagio Multiplicity theorems involving functions with non-convex range. (English) Zbl 07897316 Stud. Univ. Babeș-Bolyai, Math. 68, No. 1, 125-137 (2023). MSC: 49J35 34B10 41A50 41A55 90C26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Babu, G. V. R.; Mounika, P. Existence of \(g\)-best proximity points of proximal \(\mathcal{F}^*\)-weak contraction. (English) Zbl 07897205 J. Int. Math. Virtual Inst. 13, No. 1, 195-210 (2023). MSC: 47H10 54H25 × Cite Format Result Cite Review PDF Full Text: DOI
Saidusajnov, Muqim S. Some inequalities between the best simultaneous approximation and the modulus of continuity in a weighted Bergman space. (English) Zbl 07882028 Ural Math. J. 9, No. 2, 165-174 (2023). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 41A45 × Cite Format Result Cite Review PDF Full Text: DOI MNR