Shutovskyi, Arsen M. Some applied aspects of the Dirac delta function. (English) Zbl 07798175 J. Math. Sci., New York 276, No. 5, 685-694 (2023) and Ukr. Mat. Visn. 20, No. 3, 442-453 (2023). MSC: 41Axx 42Axx 31Axx PDFBibTeX XMLCite \textit{A. M. Shutovskyi}, J. Math. Sci., New York 276, No. 5, 685--694 (2023; Zbl 07798175) Full Text: DOI
Bustamante, Jorge Estimates of the norms of some cosine and sine series. (English) Zbl 07772763 Constr. Math. Anal. 6, No. 3, 142-150 (2023). MSC: 42A10 PDFBibTeX XMLCite \textit{J. Bustamante}, Constr. Math. Anal. 6, No. 3, 142--150 (2023; Zbl 07772763) Full Text: DOI
Bello-Hernández, Manuel; del Campo López, Alejandro Mean convergence of Fourier-Akhiezer-Chebyshev series. (English) Zbl 07761707 J. Approx. Theory 296, Article ID 105984, 16 p. (2023). Reviewer: Francisco Marcellán (Leganes) MSC: 42C10 42C05 32A35 PDFBibTeX XMLCite \textit{M. Bello-Hernández} and \textit{A. del Campo López}, J. Approx. Theory 296, Article ID 105984, 16 p. (2023; Zbl 07761707) Full Text: DOI arXiv
Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak Representation theory and multilevel filters. (English) Zbl 07734299 J. Appl. Math. Comput. 69, No. 2, 1599-1657 (2023). MSC: 42C40 46L05 47L15 47L30 47L55 60G15 60J25 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Appl. Math. Comput. 69, No. 2, 1599--1657 (2023; Zbl 07734299) Full Text: DOI arXiv
Dubon, E.; San Antolín, A. On approximation properties of matrix-valued multi-resolution analyses. (English) Zbl 07730337 Linear Multilinear Algebra 71, No. 14, 2263-2281 (2023). Reviewer: Richard A. Zalik (Auburn) MSC: 41A25 42C40 41A30 41A63 42A38 PDFBibTeX XMLCite \textit{E. Dubon} and \textit{A. San Antolín}, Linear Multilinear Algebra 71, No. 14, 2263--2281 (2023; Zbl 07730337) Full Text: DOI
Pan, Yuewei; Yi, Shanfeng Oscillatory property and dimensions of Rademacher series. (English) Zbl 07726780 Fractals 31, No. 5, Article ID 2350037, 12 p. (2023). MSC: 28A78 42C10 PDFBibTeX XMLCite \textit{Y. Pan} and \textit{S. Yi}, Fractals 31, No. 5, Article ID 2350037, 12 p. (2023; Zbl 07726780) Full Text: DOI
Starovoitov, A. P. Polyorthogonalization of a function system. (English. Russian original) Zbl 07664511 Math. Notes 113, No. 2, 311-315 (2023); translation from Mat. Zametki 113, No. 2, 316-320 (2023). Reviewer: Bujar Fejzullahu (Preševo) MSC: 42C05 46C05 33C45 PDFBibTeX XMLCite \textit{A. P. Starovoitov}, Math. Notes 113, No. 2, 311--315 (2023; Zbl 07664511); translation from Mat. Zametki 113, No. 2, 316--320 (2023) Full Text: DOI
Popa, Dumitru An intermediate Korovkin-type asymptotic evaluation. (English) Zbl 1514.42005 Mediterr. J. Math. 20, No. 1, Paper No. 9, 12 p. (2023). Reviewer: Yamilet del Carmen Quintana Mato (Madrid) MSC: 42A10 41A35 41A36 42A50 PDFBibTeX XMLCite \textit{D. Popa}, Mediterr. J. Math. 20, No. 1, Paper No. 9, 12 p. (2023; Zbl 1514.42005) Full Text: DOI
Lal, Shyam; Kumari, Priya A note on wavelet approximation of functions. (English) Zbl 1524.42076 Thai J. Math. 20, No. 4, 1679-1693 (2022). MSC: 42C40 65T60 65L10 65L60 65R20 PDFBibTeX XMLCite \textit{S. Lal} and \textit{P. Kumari}, Thai J. Math. 20, No. 4, 1679--1693 (2022; Zbl 1524.42076) Full Text: Link
Kal’chuk, I. V.; Kharkevych, Yu. I. Approximation of the classes \({W}_{\beta, \infty}^R\) by generalized Abel-Poisson integrals. (English. Ukrainian original) Zbl 1525.41016 Ukr. Math. J. 74, No. 4, 575-585 (2022); translation from Ukr. Mat. Zh. 74, No. 4, 507-515 (2022). MSC: 41A65 42A10 PDFBibTeX XMLCite \textit{I. V. Kal'chuk} and \textit{Yu. I. Kharkevych}, Ukr. Math. J. 74, No. 4, 575--585 (2022; Zbl 1525.41016); translation from Ukr. Mat. Zh. 74, No. 4, 507--515 (2022) Full Text: DOI
Bustamante, Jorge Linear combinations of Rogosinski operators. (English) Zbl 1493.42002 Rend. Circ. Mat. Palermo (2) 71, No. 2, 697-706 (2022). MSC: 42A10 42A24 41A25 PDFBibTeX XMLCite \textit{J. Bustamante}, Rend. Circ. Mat. Palermo (2) 71, No. 2, 697--706 (2022; Zbl 1493.42002) Full Text: DOI
Papageorgiou, Effie Oscillating multipliers on symmetric and locally symmetric spaces. (English) Zbl 1490.42015 Can. J. Math. 74, No. 3, 887-905 (2022). MSC: 42B15 43A85 22E40 22E30 42B20 PDFBibTeX XMLCite \textit{E. Papageorgiou}, Can. J. Math. 74, No. 3, 887--905 (2022; Zbl 1490.42015) Full Text: DOI
Liang, Jiuyang; Gao, Zixuan; Xu, Zhenli A kernel-independent sum-of-Gaussians method by de La Vallée-Poussin sums. (English) Zbl 1488.65029 Adv. Appl. Math. Mech. 13, No. 5, 1126-1141 (2021). MSC: 65D15 42A16 PDFBibTeX XMLCite \textit{J. Liang} et al., Adv. Appl. Math. Mech. 13, No. 5, 1126--1141 (2021; Zbl 1488.65029) Full Text: DOI arXiv
San Antolín, A. Density order of Parseval wavelet frames from extension principles. (English) Zbl 1481.42041 J. Approx. Theory 270, Article ID 105617, 14 p. (2021). Reviewer: Hans-Georg Stark (Aschaffenburg) MSC: 42C15 42C40 41A45 41A25 41A63 41A65 PDFBibTeX XMLCite \textit{A. San Antolín}, J. Approx. Theory 270, Article ID 105617, 14 p. (2021; Zbl 1481.42041) Full Text: DOI Link
Plotnikov, M. G. Recovery of integrable functions and trigonometric series. (English. Russian original) Zbl 1473.42008 Sb. Math. 212, No. 6, 843-858 (2021); translation from Mat. Sb. 212, No. 6, 109-125 (2021). MSC: 42A63 42A10 42A20 42A16 PDFBibTeX XMLCite \textit{M. G. Plotnikov}, Sb. Math. 212, No. 6, 843--858 (2021; Zbl 1473.42008); translation from Mat. Sb. 212, No. 6, 109--125 (2021) Full Text: DOI
Abdullayev, F. G.; Kharkevych, Yu. I. Approximation of the classes \(C_{\beta}^{\psi } H^\alpha\) by biharmonic Poisson integrals. (English. Russian original) Zbl 1448.42003 Ukr. Math. J. 72, No. 1, 21-38 (2020); translation from Ukr. Mat. Zh. 72, No. 1, 20-35 (2020). MSC: 42A10 41A65 PDFBibTeX XMLCite \textit{F. G. Abdullayev} and \textit{Yu. I. Kharkevych}, Ukr. Math. J. 72, No. 1, 21--38 (2020; Zbl 1448.42003); translation from Ukr. Mat. Zh. 72, No. 1, 20--35 (2020) Full Text: DOI
Kal’chuk, Inna V.; Kravets, Vasyl’ I.; Hrabova, Ulyana Z. Approximation of the classes \({W}_{\beta}^r{H}^{\alpha }\) by three-harmonic Poisson integrals. (English. Ukrainian original) Zbl 1448.42005 J. Math. Sci., New York 246, No. 1, 39-50 (2020); translation from Ukr. Mat. Visn. 16, No. 3, 357-371 (2019). MSC: 42A10 42A05 41A45 PDFBibTeX XMLCite \textit{I. V. Kal'chuk} et al., J. Math. Sci., New York 246, No. 1, 39--50 (2020; Zbl 1448.42005); translation from Ukr. Mat. Visn. 16, No. 3, 357--371 (2019) Full Text: DOI
Ghodadra, Bhikha Lila; Fülöp, Vanda On the order of magnitude of Walsh-Fourier transform. (English) Zbl 1499.42153 Math. Bohem. 145, No. 3, 265-280 (2020). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42C20 26A12 26A45 26B30 26D15 PDFBibTeX XMLCite \textit{B. L. Ghodadra} and \textit{V. Fülöp}, Math. Bohem. 145, No. 3, 265--280 (2020; Zbl 1499.42153) Full Text: DOI
Jordaan, Kerstin Properties of certain classes of semiclassical orthogonal polynomials. (English) Zbl 1443.33018 Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 457-477 (2020). MSC: 33C45 33D45 42C05 PDFBibTeX XMLCite \textit{K. Jordaan}, in: Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5--12, 2018. Cham: Birkhäuser. 457--477 (2020; Zbl 1443.33018) Full Text: DOI
Babushkin, M. V. Approximation of even functions with nonnegative Fourier coefficients by fractional Riesz sums. (English. Russian original) Zbl 1442.42011 J. Math. Sci., New York 244, No. 4, 576-600 (2020); translation from Probl. Mat. Anal. 101, 35-55 (2019). MSC: 42A16 42A10 26A15 PDFBibTeX XMLCite \textit{M. V. Babushkin}, J. Math. Sci., New York 244, No. 4, 576--600 (2020; Zbl 1442.42011); translation from Probl. Mat. Anal. 101, 35--55 (2019) Full Text: DOI
San Antolín, A. On Parseval wavelet frames via multiresolution analyses in \(H_G^2\). (English) Zbl 1471.42077 Can. Math. Bull. 63, No. 1, 157-172 (2020). Reviewer: Azhar Y. Tantary (Srinagar) MSC: 42C40 42C15 PDFBibTeX XMLCite \textit{A. San Antolín}, Can. Math. Bull. 63, No. 1, 157--172 (2020; Zbl 1471.42077) Full Text: DOI arXiv
Akniyev, G. G. Approximation properties of some discrete Fourier sums for piecewise smooth discontinuous functions. (English) Zbl 1458.42001 Probl. Anal. Issues Anal. 8(26), No. 3, 3-15 (2019). Reviewer: Saini Soshal (Meerut) MSC: 42A10 41A25 PDFBibTeX XMLCite \textit{G. G. Akniyev}, Probl. Anal. Issues Anal. 8(26), No. 3, 3--15 (2019; Zbl 1458.42001) Full Text: DOI MNR
Akniyev, Gasan Garunovich Approximation of continuous \(2\pi\)-periodic piecewise smooth functions by discrete Fourier sums. (English) Zbl 1420.42001 Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 19, No. 1, 4-15 (2019). MSC: 42A10 PDFBibTeX XMLCite \textit{G. G. Akniyev}, Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 19, No. 1, 4--15 (2019; Zbl 1420.42001) Full Text: DOI MNR
Goebbels, Steffen Convergence rates for Fourier partial sums of polygons and periodic splines. (English) Zbl 1417.42003 J. Fourier Anal. Appl. 25, No. 4, 1902-1920 (2019). MSC: 42A16 41A25 PDFBibTeX XMLCite \textit{S. Goebbels}, J. Fourier Anal. Appl. 25, No. 4, 1902--1920 (2019; Zbl 1417.42003) Full Text: DOI
Karlovich, Alexei Yu.; Karlovich, Yuri I.; Lebre, Amarino B. Semi-Fredholmness of weighted singular integral operators with shifts and slowly oscillating data. (English) Zbl 1476.47013 André, Carlos (ed.) et al., Operator theory, operator algebras, and matrix theory. Based on the presentations at the international workshop on operator theory and operator algebras, WOAT 2016, Lisbon, Portugal, July 5–8, 2016. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 267, 221-246 (2018). MSC: 47A53 47G10 47G30 45P05 42B20 PDFBibTeX XMLCite \textit{A. Yu. Karlovich} et al., Oper. Theory: Adv. Appl. 267, 221--246 (2018; Zbl 1476.47013) Full Text: DOI arXiv
Akniev, Gasan Garunovich Approximation properties of discrete Fourier sums for some piecewise linear functions. (Russian. English summary) Zbl 1408.42001 Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 18, No. 1, 4-16 (2018). MSC: 42A10 94A20 PDFBibTeX XMLCite \textit{G. G. Akniev}, Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 18, No. 1, 4--16 (2018; Zbl 1408.42001) Full Text: DOI MNR
Rouba, Y.; Patseika, P.; Smatrytski, K. On a system of rational Chebyshev-Markov fractions. (English) Zbl 1399.42083 Anal. Math. 44, No. 1, 115-140 (2018). Reviewer: Gustaf Gripenberg (Helsingfors) MSC: 42C10 41A25 PDFBibTeX XMLCite \textit{Y. Rouba} et al., Anal. Math. 44, No. 1, 115--140 (2018; Zbl 1399.42083) Full Text: DOI
Golinskii, L.; Malamud, M.; Oridoroga, L. Radial positive definite functions and Schoenberg matrices with negative eigenvalues. (English) Zbl 1381.42014 Trans. Am. Math. Soc. 370, No. 1, 1-25 (2018). Reviewer: Leonid Golinskii (Kharkov) MSC: 42A82 42B10 47B37 PDFBibTeX XMLCite \textit{L. Golinskii} et al., Trans. Am. Math. Soc. 370, No. 1, 1--25 (2018; Zbl 1381.42014) Full Text: DOI arXiv
Carneiro, Emanuel; Madrid, José Derivative bounds for fractional maximal functions. (English) Zbl 1370.26022 Trans. Am. Math. Soc. 369, No. 6, 4063-4092 (2017). Reviewer: József Sándor (Cluj-Napoca) MSC: 26A45 42B25 46E35 PDFBibTeX XMLCite \textit{E. Carneiro} and \textit{J. Madrid}, Trans. Am. Math. Soc. 369, No. 6, 4063--4092 (2017; Zbl 1370.26022) Full Text: DOI arXiv
Cleanthous, Galatia; Georgiadis, Athanasios G. Riesz means via heat kernel bounds. (English) Zbl 1425.43002 Bull. Hell. Math. Soc. 60, 1-10 (2016). MSC: 43A85 42B15 42B20 58J35 PDFBibTeX XMLCite \textit{G. Cleanthous} and \textit{A. G. Georgiadis}, Bull. Hell. Math. Soc. 60, 1--10 (2016; Zbl 1425.43002) Full Text: Link
Shakirov, I. A. On a refinement of the asymptotic formula for the Lebesgue constants. (Russian. English summary) Zbl 1336.42002 Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 15, No. 2, 180-186 (2015). Reviewer: Costică Mustăţa (Cluj-Napoca) MSC: 42A15 42A05 42A10 41A05 PDFBibTeX XMLCite \textit{I. A. Shakirov}, Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 15, No. 2, 180--186 (2015; Zbl 1336.42002) Full Text: DOI
Németh, Zsolt On multivariate de la Vallée Poussin-type projection operators. (English) Zbl 1305.42007 J. Approx. Theory 186, 12-27 (2014). Reviewer: Lalit Kumar Vashisht (Delhi) MSC: 42B08 42B05 PDFBibTeX XMLCite \textit{Z. Németh}, J. Approx. Theory 186, 12--27 (2014; Zbl 1305.42007) Full Text: DOI
Chandrasekaran, S.; Jayaraman, K. R.; Mhaskar, H. N. Minimum Sobolev norm interpolation with trigonometric polynomials on the torus. (English) Zbl 1302.41001 J. Comput. Phys. 249, 96-112 (2013). MSC: 41A05 41A63 42A10 PDFBibTeX XMLCite \textit{S. Chandrasekaran} et al., J. Comput. Phys. 249, 96--112 (2013; Zbl 1302.41001) Full Text: DOI
Mitra, Subhen; Mukhopadhyay, S. N. Abel derivative and Abel continuity. (English) Zbl 1273.26005 Real Anal. Exch. 38(2012-2013), No. 1, 63-78 (2013). Reviewer: Peter S. Bullen (Vancouver) MSC: 26A24 42A24 PDFBibTeX XMLCite \textit{S. Mitra} and \textit{S. N. Mukhopadhyay}, Real Anal. Exch. 38, No. 1, 63--78 (2013; Zbl 1273.26005) Full Text: DOI Euclid
Fotiadis, Anestis; Georgiadis, Athanasios G. Riesz means on graphs and discrete groups. (English) Zbl 1321.43001 Potential Anal. 38, No. 1, 21-30 (2013). Reviewer: Antone Gournay (Dresden) MSC: 43A15 42B15 47B99 05C90 PDFBibTeX XMLCite \textit{A. Fotiadis} and \textit{A. G. Georgiadis}, Potential Anal. 38, No. 1, 21--30 (2013; Zbl 1321.43001) Full Text: DOI
Starovoitow, Aleksandr P.; Starovoitowa, Natal’ya A.; Ryabchenko, Natal’ya V. Padé approximants of special functions. (English. Russian original) Zbl 1268.41010 J. Math. Sci., New York 187, No. 1, 77-85 (2012); translation from Ukr. Mat. Visn. 9, No. 2, 246-258 (2012). MSC: 41A21 42A10 PDFBibTeX XMLCite \textit{A. P. Starovoitow} et al., J. Math. Sci., New York 187, No. 1, 77--85 (2012; Zbl 1268.41010); translation from Ukr. Mat. Visn. 9, No. 2, 246--258 (2012) Full Text: DOI
Galoyan, L. N. Summation of Fourier trigonometric series and conjugate series by (\(C, \alpha, \beta\)) method. (English. Russian original) Zbl 1302.42010 J. Contemp. Math. Anal., Armen. Acad. Sci. 46, No. 5, 252-263 (2011); translation from Izv. Nats. Akad. Nauk Armen., Mat. 46, No. 5, 25-40 (2011). MSC: 42A24 40G05 PDFBibTeX XMLCite \textit{L. N. Galoyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 46, No. 5, 252--263 (2011; Zbl 1302.42010); translation from Izv. Nats. Akad. Nauk Armen., Mat. 46, No. 5, 25--40 (2011) Full Text: DOI
Beardon, Alan F. The theorems of Stieltjes and Favard. (English) Zbl 1232.42023 Comput. Methods Funct. Theory 11, No. 1, 247-262 (2011). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 42C05 33C45 33D45 PDFBibTeX XMLCite \textit{A. F. Beardon}, Comput. Methods Funct. Theory 11, No. 1, 247--262 (2011; Zbl 1232.42023) Full Text: DOI
Szili, L.; Vértesi, P. On multivariate projection operators. (English) Zbl 1171.42001 J. Approx. Theory 159, No. 1, 154-164 (2009). Reviewer: Włodzimierz Łenski (Poznań) MSC: 42B08 PDFBibTeX XMLCite \textit{L. Szili} and \textit{P. Vértesi}, J. Approx. Theory 159, No. 1, 154--164 (2009; Zbl 1171.42001) Full Text: DOI
Kyrezi, Ioanna; Marias, Michel \(H^{p}\)-bounds for spectral multipliers on graphs. (English) Zbl 1165.42001 Trans. Am. Math. Soc. 361, No. 2, 1053-1067 (2009). Reviewer: Kôzô Yabuta (Nishinomiya) MSC: 42B15 42B30 42B25 PDFBibTeX XMLCite \textit{I. Kyrezi} and \textit{M. Marias}, Trans. Am. Math. Soc. 361, No. 2, 1053--1067 (2009; Zbl 1165.42001) Full Text: DOI
Mhaskar, H. N.; Prestin, J. Polynomial operators for spectral approximation of piecewise analytic functions. (English) Zbl 1161.41008 Appl. Comput. Harmon. Anal. 26, No. 1, 121-142 (2009). Reviewer: N. I. Skiba (Rostov-na-Donu) MSC: 41A35 42A16 PDFBibTeX XMLCite \textit{H. N. Mhaskar} and \textit{J. Prestin}, Appl. Comput. Harmon. Anal. 26, No. 1, 121--142 (2009; Zbl 1161.41008) Full Text: DOI
Peherstorfer, Franz Positive quadrature formulas. III: Asymptotics of weights. (English) Zbl 1198.65051 Math. Comput. 77, No. 264, 2241-2259 (2008). MSC: 65D32 42C05 PDFBibTeX XMLCite \textit{F. Peherstorfer}, Math. Comput. 77, No. 264, 2241--2259 (2008; Zbl 1198.65051) Full Text: DOI
Mozolyako, P. A. Strong convergence of approximate identities and Bourgain points of bounded functions. (English. Russian original) Zbl 1184.42003 Dokl. Math. 78, No. 2, 774-777 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 422, No. 6, 738-740 (2008). Reviewer: Som Prakash Goyal (Jaipur) MSC: 42A38 26A45 PDFBibTeX XMLCite \textit{P. A. Mozolyako}, Dokl. Math. 78, No. 2, 774--777 (2008; Zbl 1184.42003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 422, No. 6, 738--740 (2008) Full Text: DOI
Guliyev, Vagif S.; Ibrahimov, Elman J. Calderon reproducing formula associated with the Gegenbauer operator on the half-line. (English) Zbl 1128.42004 J. Math. Anal. Appl. 335, No. 2, 1079-1094 (2007). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42A85 33C45 46E22 46E30 47B32 PDFBibTeX XMLCite \textit{V. S. Guliyev} and \textit{E. J. Ibrahimov}, J. Math. Anal. Appl. 335, No. 2, 1079--1094 (2007; Zbl 1128.42004) Full Text: DOI
Cifuentes, P.; Kazarian, K. S.; San Antolín, A. Characterization of scaling functions in a multiresolution analysis. (English) Zbl 1065.42022 Proc. Am. Math. Soc. 133, No. 4, 1013-1023 (2005). MSC: 42C15 42C40 PDFBibTeX XMLCite \textit{P. Cifuentes} et al., Proc. Am. Math. Soc. 133, No. 4, 1013--1023 (2005; Zbl 1065.42022) Full Text: DOI
Grinshpun, Zinoviy Special linear combinations of orthogonal polynomials. (English) Zbl 1061.33008 J. Math. Anal. Appl. 299, No. 1, 1-18 (2004). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{Z. Grinshpun}, J. Math. Anal. Appl. 299, No. 1, 1--18 (2004; Zbl 1061.33008) Full Text: DOI
Sakurai, T. Numerical inversion for Laplace transforms of functions with discontinuities. (English) Zbl 1064.65151 Adv. Appl. Probab. 36, No. 2, 616-642 (2004). Reviewer: Ulrich Stadtmüller (Ulm) MSC: 65R10 65B10 44A10 42A10 65T40 PDFBibTeX XMLCite \textit{T. Sakurai}, Adv. Appl. Probab. 36, No. 2, 616--642 (2004; Zbl 1064.65151) Full Text: DOI
Zlatoš, Andrej The Szegő condition for Coulomb Jacobi matrices. (English) Zbl 1020.15026 J. Approximation Theory 121, No. 1, 119-142 (2003). Reviewer: Václav Burjan (Praha) MSC: 15B57 42C05 15A42 PDFBibTeX XMLCite \textit{A. Zlatoš}, J. Approx. Theory 121, No. 1, 119--142 (2003; Zbl 1020.15026) Full Text: DOI arXiv
Mhaskar, H. N.; Narcowich, F. J.; Sivakumar, N.; Ward, J. D. Approximation with interpolatory constraints. (English) Zbl 0993.41005 Proc. Am. Math. Soc. 130, No. 5, 1355-1364 (2002). Reviewer: S.M.Mazhar (Kuwait) MSC: 41A17 42C10 41A05 65D32 65D05 PDFBibTeX XMLCite \textit{H. N. Mhaskar} et al., Proc. Am. Math. Soc. 130, No. 5, 1355--1364 (2002; Zbl 0993.41005) Full Text: DOI
Marcellán, Francisco; Álvarez-Nodarse, Renato On the “Favard theorem” and its extensions. (English) Zbl 0970.33008 J. Comput. Appl. Math. 127, No. 1-2, 231-254 (2001). Reviewer: Valery V.Karachik (Tashkent) MSC: 33C47 42C05 33D45 PDFBibTeX XMLCite \textit{F. Marcellán} and \textit{R. Álvarez-Nodarse}, J. Comput. Appl. Math. 127, No. 1--2, 231--254 (2001; Zbl 0970.33008) Full Text: DOI
Erdélyi, Tamás; Nevai, Paul Lower bounds for derivatives of polynomials and Remez type inequalities. (English) Zbl 0884.33005 Trans. Am. Math. Soc. 349, No. 12, 4953-4972 (1997). MSC: 33C45 26C05 42C05 PDFBibTeX XMLCite \textit{T. Erdélyi} and \textit{P. Nevai}, Trans. Am. Math. Soc. 349, No. 12, 4953--4972 (1997; Zbl 0884.33005) Full Text: DOI
Mukhopadhyay, S. N.; Mukhopadhyay, S. K. A generalized integral with applications to trigonometric series. (English) Zbl 0935.26002 Anal. Math. 22, No. 2, 125-146 (1996). Reviewer: Lee Peng-Yee (Singapore) MSC: 26A39 42A16 26A46 PDFBibTeX XMLCite \textit{S. N. Mukhopadhyay} and \textit{S. K. Mukhopadhyay}, Anal. Math. 22, No. 2, 125--146 (1996; Zbl 0935.26002) Full Text: DOI
Kanjin, Yuichi; Sakai, Ryozi Pointwise convergence of Hermite-Fejér interpolation of higher order for Freud weights. (English) Zbl 0807.41004 Tôhoku Math. J., II. Ser. 46, No. 2, 181-206 (1994). Reviewer: Wang Kunyang (Beijing) MSC: 41A05 41A25 42C05 PDFBibTeX XMLCite \textit{Y. Kanjin} and \textit{R. Sakai}, Tôhoku Math. J. (2) 46, No. 2, 181--206 (1994; Zbl 0807.41004) Full Text: DOI
Kirchhoff, N.; Nessel, R. J. Divergence almost everywhere of a pointwise comparison of trigonometric convolution processes with their discrete analogues. (English) Zbl 0751.42002 J. Approximation Theory 70, No. 1, 29-38 (1992). MSC: 42A10 42A85 PDFBibTeX XMLCite \textit{N. Kirchhoff} and \textit{R. J. Nessel}, J. Approx. Theory 70, No. 1, 29--38 (1992; Zbl 0751.42002) Full Text: DOI
Ruscheweyh, Stephan; Salinas, Luis C. On the preservation of periodic monotonicity. (English) Zbl 0746.42003 Constructive Approximation 8, No. 2, 129-140 (1992). Reviewer: L.Leindler (Szeged) MSC: 42A10 42A45 42A85 PDFBibTeX XMLCite \textit{S. Ruscheweyh} and \textit{L. C. Salinas}, Constr. Approx. 8, No. 2, 129--140 (1992; Zbl 0746.42003) Full Text: DOI
Mhaskar, H. N.; Xu, Y. Hermite interpolation at the zeros of certain Freud-type orthogonal polynomials. (English) Zbl 0782.41005 Acta Math. Hung. 60, No. 3-4, 225-240 (1992). Reviewer: Y.Sitaraman (Owensboro) MSC: 41A05 42C05 PDFBibTeX XMLCite \textit{H. N. Mhaskar} and \textit{Y. Xu}, Acta Math. Hung. 60, No. 3--4, 225--240 (1992; Zbl 0782.41005) Full Text: DOI
Newman, D. J.; Shisha, O. Magnitude of Fourier coefficients and degree of approximation by Riemann sums. (English) Zbl 0780.42007 Numer. Funct. Anal. Optimization 12, No. 5-6, 545-550 (1991). MSC: 42A16 41A25 42A10 PDFBibTeX XMLCite \textit{D. J. Newman} and \textit{O. Shisha}, Numer. Funct. Anal. Optim. 12, No. 5--6, 545--550 (1991; Zbl 0780.42007) Full Text: DOI
Urbina, Wilfredo On singular integrals with respect to the Gaussian measure. (English) Zbl 0737.42018 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 17, No. 4, 531-567 (1990). Reviewer: M. Milman (Boca Raton) MSC: 42B20 60H99 PDFBibTeX XMLCite \textit{W. Urbina}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 17, No. 4, 531--567 (1990; Zbl 0737.42018) Full Text: Numdam EuDML
Martynyuk, V. T. Best constants for approximations of periodic functions by Fejér operators. (English. Russian original) Zbl 0719.42003 Ukr. Math. J. 42, No. 1, 66-74 (1990); translation from Ukr. Mat. Zh. 42, No. 1, 75-83 (1990). Reviewer: A.B.Németh (Cluj-Napoca) MSC: 42A10 41A44 41A36 PDFBibTeX XMLCite \textit{V. T. Martynyuk}, Ukr. Math. J. 42, No. 1, 66--74 (1990; Zbl 0719.42003); translation from Ukr. Mat. Zh. 42, No. 1, 75--83 (1990) Full Text: DOI
Brutman, L. Alternating trigonometric polynomials. (English) Zbl 0622.42001 J. Approximation Theory 49, 64-74 (1987). Reviewer: H.P.Dikshit MSC: 42A05 42A10 42A16 42A15 PDFBibTeX XMLCite \textit{L. Brutman}, J. Approx. Theory 49, 64--74 (1987; Zbl 0622.42001) Full Text: DOI
Fomin, G. A. A property of orthogonal series in Jacobi polynomials. (English. Russian original) Zbl 0604.42028 Math. Notes 39, 375-378 (1986); translation from Mat. Zametki 39, No. 5, 684-690 (1986). Reviewer: G.López Lagomasino MSC: 42C10 42C05 PDFBibTeX XMLCite \textit{G. A. Fomin}, Math. Notes 39, 375--378 (1986; Zbl 0604.42028); translation from Mat. Zametki 39, No. 5, 684--690 (1986) Full Text: DOI
Lin, Gwo Dong On a moment problem. (English) Zbl 0602.42016 Tôhoku Math. J., II. Ser. 38, No. 1-2, 595-598 (1986). MSC: 42A65 26A46 26A48 PDFBibTeX XMLCite \textit{G. D. Lin}, Tôhoku Math. J. (2) 38, No. 1--2, 595--598 (1986; Zbl 0602.42016) Full Text: DOI
Görlich, E.; Markett, C. A lower bound for projection operators on \(L^ 1(-1,1)\). (English) Zbl 0602.41007 Ark. Mat. 24, 81-92 (1986). MSC: 41A10 42C10 33C45 PDFBibTeX XMLCite \textit{E. Görlich} and \textit{C. Markett}, Ark. Mat. 24, 81--92 (1986; Zbl 0602.41007) Full Text: DOI
Dickmeis, W.; Nessel, R. J.; van Wickeren, E. On nonlinear condensation principles with rates. (English) Zbl 0568.41019 Manuscr. Math. 52, 1-20 (1985). MSC: 41A25 41A65 42A15 42A20 PDFBibTeX XMLCite \textit{W. Dickmeis} et al., Manuscr. Math. 52, 1--20 (1985; Zbl 0568.41019) Full Text: DOI EuDML
Koch, Per Erik An extension of the theory of orthogonal polynomials and Gaussian quadrature to trigonometric and hyperbolic polynomials. (English) Zbl 0564.42014 J. Approximation Theory 43, 157-177 (1985). Reviewer: L.Leindler MSC: 42C15 PDFBibTeX XMLCite \textit{P. E. Koch}, J. Approx. Theory 43, 157--177 (1985; Zbl 0564.42014) Full Text: DOI
Baskakov, V. A. Comparison of the orders of approximation of the function classes \(W^ RH_{\omega}\). (English. Russian original) Zbl 0581.42006 Math. Notes 36, 655-660 (1984); translation from Mat. Zametki 36, No. 3, 319-328 (1984). Reviewer: B.P.Mishra MSC: 42A24 PDFBibTeX XMLCite \textit{V. A. Baskakov}, Math. Notes 36, 655--660 (1984; Zbl 0581.42006); translation from Mat. Zametki 36, No. 3, 319--328 (1984) Full Text: DOI
Nevai, Paul Mean convergence of Lagrange interpolation. III. (English) Zbl 0577.41001 Trans. Am. Math. Soc. 282, 669-698 (1984). Reviewer: Y.G.Shi MSC: 41A05 42C05 PDFBibTeX XMLCite \textit{P. Nevai}, Trans. Am. Math. Soc. 282, 669--698 (1984; Zbl 0577.41001) Full Text: DOI
Sharapudinov, I. I. On the best approximation and polynomials of the least quadratic deviation. (English) Zbl 0537.42005 Anal. Math. 9, No. 3, 223-234 (1983). Reviewer: L.Gatteschi MSC: 42A10 42A50 PDFBibTeX XMLCite \textit{I. I. Sharapudinov}, Anal. Math. 9, 223--234 (1983; Zbl 0537.42005) Full Text: DOI
Miloradovic, Slobodan Suprema of the Fourier coefficients and of certain more general functionals. (English. Russian original) Zbl 0514.42008 Math. Notes 32, 837-844 (1983); translation from Mat. Zametki 32, No. 5, 707-720 (1982). MSC: 42A16 PDFBibTeX XMLCite \textit{S. Miloradovic}, Math. Notes 32, 837--844 (1982; Zbl 0514.42008); translation from Mat. Zametki 32, No. 5, 707--720 (1982) Full Text: DOI
Riemenschneider, S.; Sharma, A.; Smith, P. W. Convergence of lacunary trigonometric interpolation on equidistant nodes. (English) Zbl 0493.42007 Acta Math. Acad. Sci. Hung. 39, 27-37 (1982). MSC: 42A15 41A05 PDFBibTeX XMLCite \textit{S. Riemenschneider} et al., Acta Math. Acad. Sci. Hung. 39, 27--37 (1982; Zbl 0493.42007) Full Text: DOI
Chan, K. Y.; Chen, Y. M.; Liu, M. C.; Ng, S. M. An example on strong unicity constants in trigonometric approximation. (English) Zbl 0491.42001 Proc. Am. Math. Soc. 84, 79-84 (1982). MSC: 42A10 41A10 41A50 PDFBibTeX XMLCite \textit{K. Y. Chan} et al., Proc. Am. Math. Soc. 84, 79--84 (1982; Zbl 0491.42001) Full Text: DOI
Ting, Bing-Yuan; Luke, Yudell L. Computation of integrals with oscillatory and singular integrands. (English) Zbl 0495.65008 Math. Comput. 37, 169-183 (1981). MSC: 65D32 65T40 42A16 41A55 42C10 PDFBibTeX XMLCite \textit{B.-Y. Ting} and \textit{Y. L. Luke}, Math. Comput. 37, 169--183 (1981; Zbl 0495.65008) Full Text: DOI
Kasimov, B. Polynomial approximations of Zygmund class functions in the Hausdorff metric. (English) Zbl 0475.41006 Math. Notes 28, 635-638 (1981). MSC: 41A10 42A10 PDFBibTeX XMLCite \textit{B. Kasimov}, Math. Notes 28, 635--638 (1981; Zbl 0475.41006) Full Text: DOI
Lukashenko, S. Yu. Bounded divergence of trigonometric series. (English) Zbl 0467.42007 Math. Notes 27, 287-293 (1980). MSC: 42A20 PDFBibTeX XMLCite \textit{S. Yu. Lukashenko}, Math. Notes 27, 287--293 (1980; Zbl 0467.42007) Full Text: DOI
Goetgheluck, Pierre Inégalité de Bernstein dans les espaces \(L^p\) avec poids. (French) Zbl 0447.41010 J. Approximation Theory 28, 359-365 (1980). MSC: 41A17 42A05 PDFBibTeX XMLCite \textit{P. Goetgheluck}, J. Approx. Theory 28, 359--365 (1980; Zbl 0447.41010) Full Text: DOI
Suetin, P. K. V. A. Steklov’s problem in the theory of orthogonal polynomials. (English) Zbl 0473.42016 J. Sov. Math. 12, 631-682 (1979). MSC: 42C05 PDFBibTeX XMLCite \textit{P. K. Suetin}, J. Sov. Math. 12, 631--682 (1979; Zbl 0473.42016) Full Text: DOI
Schurer, F.; Steutel, F. W. On the degree of approximation by the operators of De La Vallee Poussin. (English) Zbl 0371.41010 Monatsh. Math. 87, 53-64 (1979). MSC: 41A25 42A10 PDFBibTeX XMLCite \textit{F. Schurer} and \textit{F. W. Steutel}, Monatsh. Math. 87, 53--64 (1979; Zbl 0371.41010) Full Text: DOI EuDML
Bleimann, G.; Stark, E. L. An elementary construction of periodic singular integrals achieving the order of best approximation. (English) Zbl 0363.41024 Result. Math. 2, 17-29 (1979). MSC: 41A50 42A16 41A35 42A10 PDFBibTeX XMLCite \textit{G. Bleimann} and \textit{E. L. Stark}, Result. Math. 2, 17--29 (1979; Zbl 0363.41024) Full Text: DOI
Bugaets, V. P.; Martynyuk, V. T. Exact constant for approximation of continuous functions by summation operators of Jackson type. (English) Zbl 0419.42004 Ukr. Math. J. 29, 586-590 (1977). MSC: 42A10 41A35 PDFBibTeX XMLCite \textit{V. P. Bugaets} and \textit{V. T. Martynyuk}, Ukr. Math. J. 29, 586--590 (1977; Zbl 0419.42004) Full Text: DOI
Baskakov, V. A. Asymptotics of the approximation of continuous and differentiable functions by the singular integrals of de la Vallee Poussin. (English) Zbl 0399.41020 Math. Notes 21, 433-437 (1977). MSC: 41A35 41A10 42A10 41A30 42A50 PDFBibTeX XMLCite \textit{V. A. Baskakov}, Math. Notes 21, 433--437 (1977; Zbl 0399.41020) Full Text: DOI
Radoslavova, T. V. Approximation of continuous functions by trigonometric polynomials almost everywhere. (English) Zbl 0332.42003 Math. Notes 19, 29-36 (1976). MSC: 42A10 PDFBibTeX XMLCite \textit{T. V. Radoslavova}, Math. Notes 19, 29--36 (1976; Zbl 0332.42003) Full Text: DOI
Avetisjan, R. A. On the convergence of double Fourier series of discontinuous functions. (English) Zbl 0326.42013 Math. Notes 17, 294-300 (1975). MSC: 42B05 42A20 PDFBibTeX XMLCite \textit{R. A. Avetisjan}, Math. Notes 17, 294--300 (1975; Zbl 0326.42013) Full Text: DOI
Nevai, G. P. On summability of Fourier transforms. (English) Zbl 0296.42022 Acta Math. Acad. Sci. Hung. 25, 415-418 (1974). MSC: 42A38 PDFBibTeX XMLCite \textit{G. P. Nevai}, Acta Math. Acad. Sci. Hung. 25, 415--418 (1974; Zbl 0296.42022) Full Text: DOI
Klippert, J. On the uniform convergence of trigonometric interpolating polynomials to functions in the class \(C^*_T (\omega)\). (English) Zbl 0294.41010 Acta Math. Acad. Sci. Hung. 25, 33-45 (1974). MSC: 41A05 42A10 42A15 PDFBibTeX XMLCite \textit{J. Klippert}, Acta Math. Acad. Sci. Hung. 25, 33--45 (1974; Zbl 0294.41010) Full Text: DOI
Johnson, Darell J. Jackson type theorems for approximation with side conditions. (English) Zbl 0293.41017 J. Approximation Theory 12, 213-229 (1974). MSC: 41A25 41A10 42A10 PDFBibTeX XMLCite \textit{D. J. Johnson}, J. Approx. Theory 12, 213--229 (1974; Zbl 0293.41017) Full Text: DOI
Van de Vel, H. Remainder formulas and optimal points for exponential and trigonometric interpolation. (English) Zbl 0287.42005 J. Approximation Theory 8, 357-386 (1973). MSC: 42A15 41A05 65D05 PDFBibTeX XMLCite \textit{H. Van de Vel}, J. Approx. Theory 8, 357--386 (1973; Zbl 0287.42005) Full Text: DOI
Stark, E. L. The complete asymptotic expansion for the measure of approximation of Abel-Poisson’s singular integral for Lip 1. (English) Zbl 0264.42014 Math. Notes 13, 14-18 (1973). MSC: 42A50 42A20 41A60 41A35 PDFBibTeX XMLCite \textit{E. L. Stark}, Math. Notes 13, 14--18 (1973; Zbl 0264.42014) Full Text: DOI
Avetisjan, R. A. Sets of absolute convergence of double trigonometric series. (English) Zbl 0246.42017 Math. Notes 11, 289-293 (1972). MSC: 42B05 42A20 PDFBibTeX XMLCite \textit{R. A. Avetisjan}, Math. Notes 11, 289--293 (1972; Zbl 0246.42017) Full Text: DOI
Sanikidze, D. G. Quadrature processes for integrals of Cauchy type. (English) Zbl 0246.41026 Math. Notes 11, 316-321 (1972). MSC: 41A55 42B25 PDFBibTeX XMLCite \textit{D. G. Sanikidze}, Math. Notes 11, 316--321 (1972; Zbl 0246.41026) Full Text: DOI
Scherer, K. A remark on the characterization of Lip 1 by trigonometric best approximation. (English) Zbl 0229.42002 J. Approximation Theory 5, 213-215 (1972). MSC: 42A10 PDFBibTeX XMLCite \textit{K. Scherer}, J. Approx. Theory 5, 213--215 (1972; Zbl 0229.42002) Full Text: DOI
Sunouchi, G. Direct theorems in the theory of approximation. (English) Zbl 0217.14403 Acta Math. Acad. Sci. Hung. 20, 409-420 (1969). MSC: 42A10 41A65 42A45 42A38 PDFBibTeX XMLCite \textit{G. Sunouchi}, Acta Math. Acad. Sci. Hung. 20, 409--420 (1969; Zbl 0217.14403) Full Text: DOI