Debarre, Thomas; Denoyelle, Quentin; Fageot, Julien TV-based spline reconstruction with Fourier measurements: uniqueness and convergence of grid-based methods. (English) Zbl 1504.94032 J. Comput. Appl. Math. 422, Article ID 114937, 13 p. (2023). MSC: 94A12 90C25 65K10 41A15 42A75 42A38 PDFBibTeX XMLCite \textit{T. Debarre} et al., J. Comput. Appl. Math. 422, Article ID 114937, 13 p. (2023; Zbl 1504.94032) Full Text: DOI arXiv
Li, Zhao-ting; Tang, Xiang-ji; Zhang, Hong-bo Theoretical analysis of pseudospectral convergence based on total variation and a related mesh refinement method. (English) Zbl 07536767 J. Comput. Phys. 463, Article ID 111267, 13 p. (2022). MSC: 41-XX 49Mxx 65-XX PDFBibTeX XMLCite \textit{Z.-t. Li} et al., J. Comput. Phys. 463, Article ID 111267, 13 p. (2022; Zbl 07536767) Full Text: DOI
Öksüzer Yılık, Özlem; Garg, Tarul; Agrawal, P. N. Convergence rate of Szász operators involving Boas-Buck-type polynomials. (English) Zbl 1490.41010 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 92, No. 1, 13-22 (2022). MSC: 41A25 41A36 PDFBibTeX XMLCite \textit{Ö. Öksüzer Yılık} et al., Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 92, No. 1, 13--22 (2022; Zbl 1490.41010) Full Text: DOI
Debarre, Thomas; Denoyelle, Quentin; Unser, Michael; Fageot, Julien Sparsest piecewise-linear regression of one-dimensional data. (English) Zbl 1482.94025 J. Comput. Appl. Math. 406, Article ID 114044, 30 p. (2022). MSC: 94A12 90C25 94A08 94A20 65K05 41A15 PDFBibTeX XMLCite \textit{T. Debarre} et al., J. Comput. Appl. Math. 406, Article ID 114044, 30 p. (2022; Zbl 1482.94025) Full Text: DOI arXiv
Capuani, Rossana; Dutta, Prerona; Nguyen, Khai T. Metric entropy for functions of bounded total generalized variation. (English) Zbl 1459.35265 SIAM J. Math. Anal. 53, No. 1, 1168-1190 (2021). MSC: 35L02 35L65 41A30 PDFBibTeX XMLCite \textit{R. Capuani} et al., SIAM J. Math. Anal. 53, No. 1, 1168--1190 (2021; Zbl 1459.35265) Full Text: DOI arXiv
Agrawal, P. N.; Kumar, Ajay Approximation by Bézier variant of Jakimovski-Leviatan-Păltănea operators involving Sheffer polynomials. (English) Zbl 1489.41008 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 69, No. 2, 1522-1536 (2020). MSC: 41A25 41A36 41A30 26A15 PDFBibTeX XMLCite \textit{P. N. Agrawal} and \textit{A. Kumar}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 69, No. 2, 1522--1536 (2020; Zbl 1489.41008) Full Text: DOI
Fageot, Julien; Simeoni, Matthieu TV-based reconstruction of periodic functions. (English) Zbl 1458.94087 Inverse Probl. 36, No. 11, Article ID 115015, 39 p. (2020). MSC: 94A12 41A15 90C25 PDFBibTeX XMLCite \textit{J. Fageot} and \textit{M. Simeoni}, Inverse Probl. 36, No. 11, Article ID 115015, 39 p. (2020; Zbl 1458.94087) Full Text: DOI arXiv
Unser, Michael; Fageot, Julien; Ward, John Paul Splines are universal solutions of linear inverse problems with generalized TV regularization. (English) Zbl 1382.41011 SIAM Rev. 59, No. 4, 769-793 (2017). Reviewer: Aurelian Bejancu (Safat) MSC: 41A15 47A52 94A20 PDFBibTeX XMLCite \textit{M. Unser} et al., SIAM Rev. 59, No. 4, 769--793 (2017; Zbl 1382.41011) Full Text: DOI arXiv
Pitolli, Francesca Bell-shaped nonstationary refinable ripplets. (English) Zbl 1354.41012 Adv. Comput. Math. 42, No. 6, 1427-1451 (2016). MSC: 41A30 42C40 65T60 PDFBibTeX XMLCite \textit{F. Pitolli}, Adv. Comput. Math. 42, No. 6, 1427--1451 (2016; Zbl 1354.41012) Full Text: DOI arXiv
Öksüzer, Özlem; Karsli, Harun; Taşdelen, Fatma Approximation by a Kantorovich variant of Szász operators based on Brenke-type polynomials. (English) Zbl 1360.41009 Mediterr. J. Math. 13, No. 5, 3327-3340 (2016). Reviewer: Włodzimierz Łenski (Poznań) MSC: 41A35 41A25 PDFBibTeX XMLCite \textit{Ö. Öksüzer} et al., Mediterr. J. Math. 13, No. 5, 3327--3340 (2016; Zbl 1360.41009) Full Text: DOI
Plonka, Gerlind; Zheng, Yi Relation between total variation and persistence distance and its application in signal processing. (English) Zbl 1371.94527 Adv. Comput. Math. 42, No. 3, 651-674 (2016). MSC: 94A12 41A15 49M25 57M50 PDFBibTeX XMLCite \textit{G. Plonka} and \textit{Y. Zheng}, Adv. Comput. Math. 42, No. 3, 651--674 (2016; Zbl 1371.94527) Full Text: DOI
Üster, Rüya; Ibikli, Ertan On the rate of convergence of the Stancu type Bernstein operators for functions of bounded variation. (English) Zbl 1397.41004 Math. Sci. Appl. E-Notes 3, No. 1, 126-136 (2015). MSC: 41A25 41A35 41A36 PDFBibTeX XMLCite \textit{R. Üster} and \textit{E. Ibikli}, Math. Sci. Appl. E-Notes 3, No. 1, 126--136 (2015; Zbl 1397.41004)
Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J. A total variation diminishing interpolation operator and applications. (English) Zbl 1321.65017 Math. Comput. 84, No. 296, 2569-2587 (2015). MSC: 65D05 41A05 PDFBibTeX XMLCite \textit{S. Bartels} et al., Math. Comput. 84, No. 296, 2569--2587 (2015; Zbl 1321.65017) Full Text: DOI arXiv
Hürlimann, Werner Improved FFT approximations of probability functions based on modified quadrature rules. (English) Zbl 1292.65147 Int. Math. Forum 8, No. 17-20, 829-840 (2013). MSC: 65T50 41A55 62E17 65C60 PDFBibTeX XMLCite \textit{W. Hürlimann}, Int. Math. Forum 8, No. 17--20, 829--840 (2013; Zbl 1292.65147) Full Text: DOI Link
Pontow, Carsten; Scherzer, Otmar Analytical evaluations of double integral expressions related to total variation. (English) Zbl 1250.65045 Langer, Ulrich (ed.) et al., Numerical and symbolic scientific computing. Progress and prospects. New York, NY: Springer (ISBN 978-3-7091-0793-5/pbk; 978-3-7091-0794-2/ebook). Texts & Monographs in Symbolic Computation, 193-218 (2012). MSC: 65D32 41A55 41A63 68W30 65Y15 PDFBibTeX XMLCite \textit{C. Pontow} and \textit{O. Scherzer}, in: Numerical and symbolic scientific computing. Progress and prospects. New York, NY: Springer. 193--218 (2012; Zbl 1250.65045) Full Text: DOI arXiv
Karsli, Harun On convergence of general gamma type operators. (English) Zbl 1265.41035 Anal. Theory Appl. 27, No. 3, 288-300 (2011). MSC: 41A25 41A35 PDFBibTeX XMLCite \textit{H. Karsli}, Anal. Theory Appl. 27, No. 3, 288--300 (2011; Zbl 1265.41035) Full Text: DOI
Stefan, W.; Renaut, R. A.; Gelb, A. Improved total variation-type regularization using higher order edge detectors. (English) Zbl 1195.41007 SIAM J. Imaging Sci. 3, No. 2, 232-251 (2010). MSC: 41A10 65F22 PDFBibTeX XMLCite \textit{W. Stefan} et al., SIAM J. Imaging Sci. 3, No. 2, 232--251 (2010; Zbl 1195.41007) Full Text: DOI Link
Gupta, Vijay Certain family of Durrmeyer type operators. (English) Zbl 1191.41007 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 63, 109-115 (2009). MSC: 41A25 41A35 PDFBibTeX XMLCite \textit{V. Gupta}, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 63, 109--115 (2009; Zbl 1191.41007) Full Text: DOI Link
Maheshwari, Prerna Direct theorems for modified Baskakov operators in \(L_p\)-spaces. (English) Zbl 1192.41005 Demonstr. Math. 42, No. 3, 553-565 (2009). MSC: 41A25 41A30 PDFBibTeX XMLCite \textit{P. Maheshwari}, Demonstr. Math. 42, No. 3, 553--565 (2009; Zbl 1192.41005) Full Text: DOI
Shirakawa, Ken Stability analysis for Allen-Cahn type equations generated by linear growth energies. (English) Zbl 1191.35055 Colli, P. (ed.) et al., Proceedings of international conference on: Nonlinear phenomena with energy dissipation. Mathematical analysis, modeling and simulation, Chiba, Japan, November 26–30, 2007. Tokyo: Gakkotosha (ISBN 978-4-7625-0438-9/hbk). Gakuto International Series Mathematical Sciences and Applications 29, 363-382 (2008). Reviewer: Shigeru Sakaguchi (Hiroshima) MSC: 35B35 41A25 35K65 35K59 35R70 35B40 PDFBibTeX XMLCite \textit{K. Shirakawa}, in: Proceedings of international conference on: Nonlinear phenomena with energy dissipation. Mathematical analysis, modeling and simulation, Chiba, Japan, November 26--30, 2007. Tokyo: Gakkotosha. 363--382 (2008; Zbl 1191.35055)
Gupta, Vijay; Mohapatra, R. N. Approximation by Durrmeyer-Bezier operators. (English) Zbl 1154.41305 Nonlinear Anal., Real World Appl. 9, No. 4, 1491-1498 (2008). MSC: 41A25 41A30 PDFBibTeX XMLCite \textit{V. Gupta} and \textit{R. N. Mohapatra}, Nonlinear Anal., Real World Appl. 9, No. 4, 1491--1498 (2008; Zbl 1154.41305) Full Text: DOI
Abel, Ulrich; Gupta, Vijay; Mohapatra, Ram N. Local approximation by a variant of Bernstein-Durrmeyer operators. (English) Zbl 1175.41020 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 11, 3372-3381 (2008). Reviewer: Ioan Raşa (Cluj-Napoca) MSC: 41A36 41A25 41A30 26A45 PDFBibTeX XMLCite \textit{U. Abel} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 11, 3372--3381 (2008; Zbl 1175.41020) Full Text: DOI
İspir, Nurhayat; Aral, Ali; Doğru, Ogün On Kantorovich process of a sequence of the generalized linear positive operators. (English) Zbl 1152.41013 Numer. Funct. Anal. Optim. 29, No. 5-6, 574-589 (2008). Reviewer: Juri M. Rappoport (Moskva) MSC: 41A30 41A36 41A25 PDFBibTeX XMLCite \textit{N. İspir} et al., Numer. Funct. Anal. Optim. 29, No. 5--6, 574--589 (2008; Zbl 1152.41013) Full Text: DOI
Gupta, M. K.; Beniwal, Man Singh; Goel, Prachi Rate of convergence for Szasz-Mirakyan-Durrmeyer operators with derivatives of bounded variation. (English) Zbl 1151.41012 Appl. Math. Comput. 199, No. 2, 828-832 (2008). Reviewer: Vijay Gupta (New Delhi) MSC: 41A25 41A30 PDFBibTeX XMLCite \textit{M. K. Gupta} et al., Appl. Math. Comput. 199, No. 2, 828--832 (2008; Zbl 1151.41012) Full Text: DOI
Karsli, Harun; Ibikli, Ertan Convergence rate of a new Bézier variant of Chlodowsky operators to bounded variation functions. (English) Zbl 1129.41004 J. Comput. Appl. Math. 212, No. 2, 431-443 (2008). Reviewer: Vijay Gupta (New Delhi) MSC: 41A25 41A35 PDFBibTeX XMLCite \textit{H. Karsli} and \textit{E. Ibikli}, J. Comput. Appl. Math. 212, No. 2, 431--443 (2008; Zbl 1129.41004) Full Text: DOI
Karsli, Harun Rate of convergence of new gamma type operators for functions with derivatives of bounded variation. (English) Zbl 1165.41316 Math. Comput. Modelling 45, No. 5-6, 617-624 (2007). MSC: 41A35 PDFBibTeX XMLCite \textit{H. Karsli}, Math. Comput. Modelling 45, No. 5--6, 617--624 (2007; Zbl 1165.41316) Full Text: DOI
Ispir, Nurhayat Rate of convergence of generalized rational type Baskakov operators. (English) Zbl 1129.41009 Math. Comput. Modelling 46, No. 5-6, 625-631 (2007). Reviewer: Boris I. Golubov (Dolgoprudny) MSC: 41A35 PDFBibTeX XMLCite \textit{N. Ispir}, Math. Comput. Modelling 46, No. 5--6, 625--631 (2007; Zbl 1129.41009) Full Text: DOI
Srivastava, H. M.; Finta, Zoltán; Gupta, Vijay Direct results for a certain family of summation-integral type operators. (English) Zbl 1124.41020 Appl. Math. Comput. 190, No. 1, 449-457 (2007). Reviewer: Dan Bārbosu (Baia Mare) MSC: 41A36 41A35 45P05 PDFBibTeX XMLCite \textit{H. M. Srivastava} et al., Appl. Math. Comput. 190, No. 1, 449--457 (2007; Zbl 1124.41020) Full Text: DOI
Gupta, Vijay; Agrawal, P. N.; Karsli, Harun Simultaneous approximation for the Phillips-Bézier operators. (English) Zbl 1133.41304 JIPAM, J. Inequal. Pure Appl. Math. 7, No. 4, Paper No. 141, 7 p. (2006). MSC: 41A25 41A30 PDFBibTeX XMLCite \textit{V. Gupta} et al., JIPAM, J. Inequal. Pure Appl. Math. 7, No. 4, Paper No. 141, 7 p. (2006; Zbl 1133.41304) Full Text: EuDML EMIS
Littmann, Friedrich One-sided approximation by entire functions. (English) Zbl 1130.41007 J. Approximation Theory 141, No. 1, 1-7 (2006). MSC: 41A29 26A46 42A10 33B15 30D15 30E10 41A10 42A85 PDFBibTeX XMLCite \textit{F. Littmann}, J. Approx. Theory 141, No. 1, 1--7 (2006; Zbl 1130.41007) Full Text: DOI
Gupta, Vijay; Mohapatra, Ram N. On the rate of convergence for certain summation-integration type operators. (English) Zbl 1097.41017 Math. Inequal. Appl. 9, No. 3, 465-472 (2006). Reviewer: Shun Sheng Guo (Shijiazhuang) MSC: 41A25 41A30 41A35 41A27 PDFBibTeX XMLCite \textit{V. Gupta} and \textit{R. N. Mohapatra}, Math. Inequal. Appl. 9, No. 3, 465--472 (2006; Zbl 1097.41017) Full Text: DOI Link
Srivastava, H. M.; Gupta, Vijay Rate of convergence for the Bézier variant of the Bleimann–Butzer–Hahn operators. (English) Zbl 1084.41010 Appl. Math. Lett. 18, No. 8, 849-857 (2005). Reviewer: Dan Bārbosu (Baia Mare) MSC: 41A25 PDFBibTeX XMLCite \textit{H. M. Srivastava} and \textit{V. Gupta}, Appl. Math. Lett. 18, No. 8, 849--857 (2005; Zbl 1084.41010) Full Text: DOI
Gupta, Vijay; Ispir, Nurhayat On the Bézier variant of generalized Kantorovich type Balazs operators. (English) Zbl 1088.41012 Appl. Math. Lett. 18, No. 9, 1053-1061 (2005). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A30 41A36 PDFBibTeX XMLCite \textit{V. Gupta} and \textit{N. Ispir}, Appl. Math. Lett. 18, No. 9, 1053--1061 (2005; Zbl 1088.41012) Full Text: DOI
Abel, Ulrich; Gupta, Vijay; Mohapatra, Ram N. Local approximation by Beta operators. (English) Zbl 1074.41017 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 62, No. 1, 41-52 (2005). Reviewer: Borislav Crstici (Timişoara) MSC: 41A36 41A25 PDFBibTeX XMLCite \textit{U. Abel} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 62, No. 1, 41--52 (2005; Zbl 1074.41017) Full Text: DOI
Abel, Ulrich; Gupta, Vijay; Ivan, Mircea On the rate of convergence of Baskakov-Kantorovich-Bézier operators for bounded variation functions. (English) Zbl 1084.41528 Rev. Anal. Numér. Théor. Approx. 31, No. 2, 123-133 (2002). MSC: 41A36 41A25 26A45 PDFBibTeX XMLCite \textit{U. Abel} et al., Rev. Anal. Numér. Théor. Approx. 31, No. 2, 123--133 (2002; Zbl 1084.41528)
Dragomir, Sever Silvestru On the trapezoid quadrature formula and applications. (English) Zbl 1005.26017 Kragujevac J. Math. 23, 25-36 (2001). Reviewer: Ljubiša Kocić (Niš) MSC: 26D15 65D30 41A55 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Kragujevac J. Math. 23, 25--36 (2001; Zbl 1005.26017)
Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A. Atomic decomposition by basis pursuit. (English) Zbl 0979.94010 SIAM Rev. 43, No. 1, 129-159 (2001). MSC: 94A12 65K05 65D15 41A45 PDFBibTeX XMLCite \textit{S. S. Chen} et al., SIAM Rev. 43, No. 1, 129--159 (2001; Zbl 0979.94010) Full Text: DOI
Dragomir, Sever Silvestru On the midpoint quadrature formula for mappings with bounded variation and applications. (English) Zbl 1012.26016 Kragujevac J. Math. 22, 13-19 (2000). Reviewer: Milan Merkle (Beograd) MSC: 26D15 41A55 65D32 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Kragujevac J. Math. 22, 13--19 (2000; Zbl 1012.26016)
Dragomir, S. S.; Agarwal, R. P.; Cerone, P. On Simpson’s inequality and applications. (English) Zbl 0976.26012 J. Inequal. Appl. 5, No. 6, 533-579 (2000). Reviewer: József Sándor (Cluj-Napoca) MSC: 26D15 26D20 41A55 65D32 PDFBibTeX XMLCite \textit{S. S. Dragomir} et al., J. Inequal. Appl. 5, No. 6, 533--579 (2000; Zbl 0976.26012) Full Text: DOI EuDML
Dragomir, S. S. On the Ostrowski’s inequality for Riemann-Stieltjes integral and applications. (English) Zbl 0969.26017 Korean J. Comput. Appl. Math. 7, No. 3, 611-627 (2000). Reviewer: József Sándor (Cluj-Napoca) MSC: 26D15 41A55 65D32 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Korean J. Comput. Appl. Math. 7, No. 3, 611--627 (2000; Zbl 0969.26017)
Bianchini, Stefano; Mariconda, C. The vector measures whose range is strictly convex. (English) Zbl 0933.46038 J. Math. Anal. Appl. 232, No. 1, 1-19 (1999). Reviewer: K.Musiał (Wrocław) MSC: 46G10 28B05 52A20 28A35 41A50 PDFBibTeX XMLCite \textit{S. Bianchini} and \textit{C. Mariconda}, J. Math. Anal. Appl. 232, No. 1, 1--19 (1999; Zbl 0933.46038) Full Text: DOI Link
Sun, Yongsheng; Jiang, Yanjie Extremal problem for a convolution class of functions defined on the real line. (English) Zbl 0923.41016 East J. Approx. 4, No. 4, 515-525 (1998). Reviewer: D.Dryanov (Sofia) MSC: 41A46 PDFBibTeX XMLCite \textit{Y. Sun} and \textit{Y. Jiang}, East J. Approx. 4, No. 4, 515--525 (1998; Zbl 0923.41016)
Dette, Holger; Munk, Axel Sign regularity of a generalized Cauchy kernel with applications. (English) Zbl 0848.62006 J. Stat. Plann. Inference 52, No. 2, 131-142 (1996). MSC: 62E10 62F03 62E99 41A52 PDFBibTeX XMLCite \textit{H. Dette} and \textit{A. Munk}, J. Stat. Plann. Inference 52, No. 2, 131--142 (1996; Zbl 0848.62006) Full Text: DOI
Sun, Jianquan Total positivity of rational Bézier curves and adjustment and control of its shape. (Chinese. English summary) Zbl 0804.65016 J. Nanjing Univ. Aeronaut. Astronaut. 25, No. 5, 706-713 (1993). Reviewer: Xiong Zhenxiang (Alhambra) MSC: 65D17 41A20 65D10 PDFBibTeX XMLCite \textit{J. Sun}, J. Nanjing Univ. Aeronaut. Astronaut. 25, No. 5, 706--713 (1993; Zbl 0804.65016)
Avez, A. Un théorème de Haar. (French) Zbl 0683.42028 Rev. Mat. Apl. 10, No. 1, 1-3 (1989). MSC: 42C05 41A17 41A65 53C20 PDFBibTeX XMLCite \textit{A. Avez}, Rev. Mat. Apl. 10, No. 1, 1--3 (1989; Zbl 0683.42028)
Dyn, Nira; Micchelli, Charles A. Piecewise polynomial spaces and geometric continuity of curves. (English) Zbl 0638.65010 Numer. Math. 54, No. 3, 319-337 (1988). Reviewer: N.Dyn MSC: 65D07 41A15 53A04 PDFBibTeX XMLCite \textit{N. Dyn} and \textit{C. A. Micchelli}, Numer. Math. 54, No. 3, 319--337 (1988; Zbl 0638.65010) Full Text: DOI EuDML
Boyanov, B. D. B-splines with Birkhoff knots. (English) Zbl 0628.41010 C. R. Acad. Bulg. Sci. 40, No. 2, 11-14 (1987). Reviewer: G.Nürnberger MSC: 41A15 41A05 PDFBibTeX XMLCite \textit{B. D. Boyanov}, C. R. Acad. Bulg. Sci. 40, No. 2, 11--14 (1987; Zbl 0628.41010)
Blümlinger, Martin; Tichy, Robert Franz Bemerkungen zu einigen Anwendungen gleichverteilter Folgen. (Remarks concerning some applications of uniformly distributed sequences). (German) Zbl 0623.65029 Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 195, 253-265 (1986). MSC: 65D32 11K06 41A55 65C10 PDFBibTeX XMLCite \textit{M. Blümlinger} and \textit{R. F. Tichy}, Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 195, 253--265 (1986; Zbl 0623.65029)
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Bojanic, R.; Vuilleumier, M. On the rate of convergence of Fourier-Legendre series of functions of bounded variation. (English) Zbl 0494.42003 J. Approximation Theory 31, 67-79 (1981). MSC: 42A10 41A25 PDFBibTeX XMLCite \textit{R. Bojanic} and \textit{M. Vuilleumier}, J. Approx. Theory 31, 67--79 (1981; Zbl 0494.42003) Full Text: DOI