Youssri, Youssri Hassan; Atta, Ahmed Gamal Modal spectral Tchebyshev Petrov-Galerkin stratagem for the time-fractional nonlinear Burgers’ equation. (English) Zbl 07908524 Iran. J. Numer. Anal. Optim. 14, No. 1, 172-199 (2024). MSC: 65M60 11B39 40A05 34A08 PDFBibTeX XMLCite \textit{Y. H. Youssri} and \textit{A. G. Atta}, Iran. J. Numer. Anal. Optim. 14, No. 1, 172--199 (2024; Zbl 07908524) Full Text: DOI OA License
Kouba, Omran Binomial identities obtained from the Gegenbauer series expansion. (English) Zbl 07765877 Integral Transforms Spec. Funct. 34, No. 12, 947-964 (2023). Reviewer: Elaine Wong (Oak Ridge) MSC: 33C45 33F05 33C05 42C10 05A19 05A10 11B65 40A05 40A30 PDFBibTeX XMLCite \textit{O. Kouba}, Integral Transforms Spec. Funct. 34, No. 12, 947--964 (2023; Zbl 07765877) Full Text: DOI
Abdelhakem, M.; Abdelhamied, Dina; El-kady, M.; Youssri, Y. H. Enhanced shifted Tchebyshev operational matrix of derivatives: two spectral algorithms for solving even-order BVPs. (English) Zbl 1522.65128 J. Appl. Math. Comput. 69, No. 5, 3893-3909 (2023). MSC: 65L10 65L60 11B39 40A05 PDFBibTeX XMLCite \textit{M. Abdelhakem} et al., J. Appl. Math. Comput. 69, No. 5, 3893--3909 (2023; Zbl 1522.65128) Full Text: DOI OA License
Lin, Kai; Qian, Wei-Liang High-order matrix method with delimited expansion domain. (English) Zbl 1521.83132 Classical Quantum Gravity 40, No. 8, Article ID 085019, 24 p. (2023). MSC: 83C57 08B10 70K50 26A15 40C05 PDFBibTeX XMLCite \textit{K. Lin} and \textit{W.-L. Qian}, Classical Quantum Gravity 40, No. 8, Article ID 085019, 24 p. (2023; Zbl 1521.83132) Full Text: DOI arXiv
Molnár, Gábor M.; Páles, Zsolt On convex and concave sequences and their applications. (English) Zbl 1506.40001 Math. Inequal. Appl. 25, No. 3, 727-750 (2022). MSC: 40A05 26A51 PDFBibTeX XMLCite \textit{G. M. Molnár} and \textit{Z. Páles}, Math. Inequal. Appl. 25, No. 3, 727--750 (2022; Zbl 1506.40001) Full Text: DOI arXiv
Szabłowski, Paweł J. Multivariate generating functions built from Chebyshev polynomials and some of their applications and generalizations. (English) Zbl 1492.42033 Colloq. Math. 169, No. 1, 141-170 (2022). MSC: 42C10 05A15 33C47 26B35 40B05 PDFBibTeX XMLCite \textit{P. J. Szabłowski}, Colloq. Math. 169, No. 1, 141--170 (2022; Zbl 1492.42033) Full Text: DOI arXiv
Basu, Sudeshna; Dey, Lakshmi Kanta; Som, Sumit Farthest point problem and partial statistical continuity in normed linear spaces. (English) Zbl 1501.46014 Quaest. Math. 45, No. 4, 595-604 (2022). Reviewer: T.S.S.R.K. Rao (Bangalore) MSC: 46B20 41A65 40A35 PDFBibTeX XMLCite \textit{S. Basu} et al., Quaest. Math. 45, No. 4, 595--604 (2022; Zbl 1501.46014) Full Text: DOI arXiv
Maširević, Dragana Jankov; Pogány, Tibor K. On a second type Neumann series of modified Bessel functions of the first kind. (English) Zbl 1469.33005 Integral Transforms Spec. Funct. 32, No. 2, 105-112 (2021). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 33C10 40A25 40C10 PDFBibTeX XMLCite \textit{D. J. Maširević} and \textit{T. K. Pogány}, Integral Transforms Spec. Funct. 32, No. 2, 105--112 (2021; Zbl 1469.33005) Full Text: DOI
Seal, Susmita; Som, Sumit; Basu, Sudeshna; Dey, Lakshmi Kanta Characterization of \(M\)-compact sets via statistically convergent sequences. arXiv:2008.08491 Preprint, arXiv:2008.08491 [math.FA] (2020). MSC: 46B20 41A65 41A50 40A35 BibTeX Cite \textit{S. Seal} et al., ``Characterization of $M$-compact sets via statistically convergent sequences'', Preprint, arXiv:2008.08491 [math.FA] (2020) Full Text: arXiv OA License
Som, Sumit; Savas, Ekrem A note on farthest point problem in Banach spaces. (English) Zbl 1449.46019 Miskolc Math. Notes 20, No. 2, 1237-1243 (2019). MSC: 46B20 40A35 41A65 PDFBibTeX XMLCite \textit{S. Som} and \textit{E. Savas}, Miskolc Math. Notes 20, No. 2, 1237--1243 (2019; Zbl 1449.46019) Full Text: DOI
Vellucci, Pierluigi; Bersani, Alberto Maria \(\pi\)-formulas and Gray code. (English) Zbl 1442.40002 Ric. Mat. 68, No. 2, 551-569 (2019). MSC: 40A25 33C45 11Y60 PDFBibTeX XMLCite \textit{P. Vellucci} and \textit{A. M. Bersani}, Ric. Mat. 68, No. 2, 551--569 (2019; Zbl 1442.40002) Full Text: DOI arXiv
Botelho, Fernanda (ed.) Recent trends in operator theory and applications. Workshop, The University of Memphis, Memphis, TN, USA, May 3–5, 2018. (English) Zbl 1428.47002 Contemporary Mathematics 737. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4895-0/pbk; 978-1-4704-5524-8/ebook). viii, 183 p. (2019). MSC: 47-06 47Bxx 47Axx 47L05 46Bxx 46Jxx 26A15 41Axx 46E15 46Lxx 40G15 00B25 PDFBibTeX XMLCite \textit{F. Botelho} (ed.), Recent trends in operator theory and applications. Workshop, The University of Memphis, Memphis, TN, USA, May 3--5, 2018. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1428.47002) Full Text: DOI
Zhang, Wen-Bin Exact Wiener-Ikehara theorems. (English) Zbl 1441.11238 Acta Arith. 187, No. 4, 357-380 (2019). MSC: 11M45 40E05 11M41 PDFBibTeX XMLCite \textit{W.-B. Zhang}, Acta Arith. 187, No. 4, 357--380 (2019; Zbl 1441.11238) Full Text: DOI
Annaby, M. A.; Hassan, H. A. Trigonometric sums by Hermite interpolations. (English) Zbl 1427.65012 Appl. Math. Comput. 330, 213-224 (2018). MSC: 65D05 11L03 40A30 41A05 PDFBibTeX XMLCite \textit{M. A. Annaby} and \textit{H. A. Hassan}, Appl. Math. Comput. 330, 213--224 (2018; Zbl 1427.65012) Full Text: DOI
Dodunova, Lyudmila Kuz’minichna; Ageĭkin, Artem Aleksandrovich Approximation of analytic functions by universal Vallee-Poussin sums on the Chebyshev polynomials. (English) Zbl 1409.40002 Izv. Irkutsk. Gos. Univ., Ser. Mat. 24, 12-23 (2018). MSC: 40A30 40A10 11B83 30E10 PDFBibTeX XMLCite \textit{L. K. Dodunova} and \textit{A. A. Ageĭkin}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 24, 12--23 (2018; Zbl 1409.40002) Full Text: DOI Link OA License
Vellucci, Pierluigi; Bersani, Alberto Maria Ordering of nested square roots of 2 according to the Gray code. (English) Zbl 1394.40008 Ramanujan J. 45, No. 1, 197-210 (2018). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 40A99 11A99 26C10 PDFBibTeX XMLCite \textit{P. Vellucci} and \textit{A. M. Bersani}, Ramanujan J. 45, No. 1, 197--210 (2018; Zbl 1394.40008) Full Text: DOI arXiv
Moses, Peter J. C.; Kimberling, Clark Nested interval sequences of positive real numbers. (English) Zbl 1423.40002 Integers 17, Paper A46, 16 p. (2017). MSC: 40A05 PDFBibTeX XMLCite \textit{P. J. C. Moses} and \textit{C. Kimberling}, Integers 17, Paper A46, 16 p. (2017; Zbl 1423.40002) Full Text: Link
Dodunova, Lyudmila Kuz’minichna; Ageĭkin, Artem Aleksandrovich Summation of the universal series on the Chebyshev polynomials. (Russian. English summary) Zbl 1393.40002 Izv. Irkutsk. Gos. Univ., Ser. Mat. 21, 51-60 (2017). Reviewer: Leonid Golinskii (Kharkov) MSC: 40A30 42C10 PDFBibTeX XMLCite \textit{L. K. Dodunova} and \textit{A. A. Ageĭkin}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 21, 51--60 (2017; Zbl 1393.40002) Full Text: Link
Hu, Xianfeng; Iwen, Mark; Kim, Hyejin Rapidly computing sparse Legendre expansions via sparse Fourier transforms. (English) Zbl 1365.65034 Numer. Algorithms 74, No. 4, 1029-1059 (2017). Reviewer: Adhemar Bultheel (Leuven) MSC: 65D15 41A10 40A25 65T50 PDFBibTeX XMLCite \textit{X. Hu} et al., Numer. Algorithms 74, No. 4, 1029--1059 (2017; Zbl 1365.65034) Full Text: DOI arXiv
Nishimura, Ryo A generalization of Viéte’s infinite product and new mean iterations. (English) Zbl 1355.33023 Aust. J. Math. Anal. Appl. 13, No. 1, Article No. 20, 9 p. (2016). MSC: 33E05 40A20 PDFBibTeX XMLCite \textit{R. Nishimura}, Aust. J. Math. Anal. Appl. 13, No. 1, Article No. 20, 9 p. (2016; Zbl 1355.33023) Full Text: Link
Citterio, Maurizio; Pavani, Raffaella A fast computation of the best \(k\)-digit rational approximation to a real number. (English) Zbl 1355.65038 Mediterr. J. Math. 13, No. 6, 4321-4331 (2016). Reviewer: Adhemar Bultheel (Leuven) MSC: 65D20 11A55 11B57 40A25 41A50 PDFBibTeX XMLCite \textit{M. Citterio} and \textit{R. Pavani}, Mediterr. J. Math. 13, No. 6, 4321--4331 (2016; Zbl 1355.65038) Full Text: DOI
Merca, Mircea The cardinal sine function and the Chebyshev-Stirling numbers. (English) Zbl 1343.40001 J. Number Theory 160, 19-31 (2016). Reviewer: Cristinel Mortici (Târgovişte) MSC: 40A25 11Y60 33B10 PDFBibTeX XMLCite \textit{M. Merca}, J. Number Theory 160, 19--31 (2016; Zbl 1343.40001) Full Text: DOI
Brink, David Nilakantha’s accelerated series for \(\pi \). (English) Zbl 1339.65004 Acta Arith. 171, No. 4, 293-308 (2015). MSC: 65B10 40A25 PDFBibTeX XMLCite \textit{D. Brink}, Acta Arith. 171, No. 4, 293--308 (2015; Zbl 1339.65004) Full Text: DOI OA License
Wituła, Roman (ed.); Słota, Damian (ed.); Hołubowski, Waldemar (ed.) Monograph on the occasion of 100th birthday anniversary of Zygmunt Zahorski. (Polish, English) Zbl 1305.00174 Monografia (Gliwice) 545. Gliwice: Wydawnictwo Politechniki Śląskiej (ISBN 978-83-7880-206-8/pbk). 379 p., open access (2015). MSC: 00B30 00B15 01A70 01A60 26-03 42-03 26-06 47-06 39-06 54-06 40-06 03-06 34-06 20-06 PDFBibTeX XMLCite \textit{R. Wituła} (ed.) et al., Monograph on the occasion of 100th birthday anniversary of Zygmunt Zahorski (Polish). Gliwice: Wydawnictwo Politechniki Śląskiej (2015; Zbl 1305.00174) Full Text: Link
Chan, Kwo; Nair, Radhakrishnan A remark on the distribution of Chebychev polynomials on \([-1,1]\). (English) Zbl 1340.11065 Unif. Distrib. Theory 9, No. 2, 125-134 (2014). Reviewer: Oto Strauch (Bratislava) MSC: 11K36 37A45 40A30 PDFBibTeX XMLCite \textit{K. Chan} and \textit{R. Nair}, Unif. Distrib. Theory 9, No. 2, 125--134 (2014; Zbl 1340.11065) Full Text: Link
Németh, Zsolt Discrete uniformly convergent processes on the roots of four kinds of Chebyshev polynomials. (English) Zbl 1313.41008 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 43, 193-215 (2014). MSC: 41A05 41A10 40A05 PDFBibTeX XMLCite \textit{Z. Németh}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 43, 193--215 (2014; Zbl 1313.41008)
Paštéka, Milan On four approaches to density. (English) Zbl 1325.11015 Spectrum Slovakia 3. Frankfurt am Main: Peter Lang; Bratislava: VEDA, Publishing House of the Slovak Academy of Sciences (ISBN 978-3-631-64941-1/hbk; 978-80-224-1327-5/hbk). 97 p. (2014). Reviewer: Göran Högnäs (Åbo) MSC: 11B05 11-02 11K06 11B25 11K36 28A12 40A05 PDFBibTeX XMLCite \textit{M. Paštéka}, On four approaches to density. Frankfurt am Main: Peter Lang; Bratislava: VEDA, Publishing House of the Slovak Academy of Sciences (2014; Zbl 1325.11015)
Duren, Peter Invitation to classical analysis. (English) Zbl 1244.00003 Pure and Applied Undergraduate Texts 17. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6932-1/hbk). xiii, 392 p. (2012). Reviewer: Werner Kleinert (Berlin) MSC: 00A05 26-01 11-01 33-01 34-01 40-01 41-01 42-01 00A35 PDFBibTeX XMLCite \textit{P. Duren}, Invitation to classical analysis. Providence, RI: American Mathematical Society (AMS) (2012; Zbl 1244.00003)
Gonchar, A. A.; Rakhmanov, E. A.; Suetin, S. P. Padé-Chebyshev approximants of multivalued analytic functions, variation of equilibrium energy, and the \(S\)-property of stationary compact sets. (English. Russian original) Zbl 1243.30076 Russ. Math. Surv. 66, No. 6, 1015-1048 (2011); translation from Usp. Mat. Nauk 66, No. 6, 3-36 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 30E10 41A21 30F99 40A15 41A50 PDFBibTeX XMLCite \textit{A. A. Gonchar} et al., Russ. Math. Surv. 66, No. 6, 1015--1048 (2011; Zbl 1243.30076); translation from Usp. Mat. Nauk 66, No. 6, 3--36 (2011) Full Text: DOI arXiv
Ali, Ziad S. On a multiplier of the progressive means and convex maps of the unit disc. (English) Zbl 1240.40028 Acta Math. Acad. Paedagog. Nyházi. (N.S.) 27, No. 1, 89-104 (2011). MSC: 40G05 40C15 30C45 05A19 PDFBibTeX XMLCite \textit{Z. S. Ali}, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 27, No. 1, 89--104 (2011; Zbl 1240.40028) Full Text: EMIS
Abdelouahab, Kadem Analytic investigations of the Walsh functions combined with the Sumudu transform and applications to the transport equation. (English) Zbl 1235.82064 Asian-Eur. J. Math. 4, No. 2, 199-215 (2011). Reviewer: Pavel Burda (Praha) MSC: 82C70 82D75 65N35 65D32 40A10 41A50 PDFBibTeX XMLCite \textit{K. Abdelouahab}, Asian-Eur. J. Math. 4, No. 2, 199--215 (2011; Zbl 1235.82064) Full Text: DOI
Duman, Oktay; Gürcan, Mehmet Some characterizations on statistical convergence of expected values of random variables. (English) Zbl 1312.60030 J. Math. Anal. 1, No. 2, 1-8 (2010). MSC: 60F17 40A35 PDFBibTeX XMLCite \textit{O. Duman} and \textit{M. Gürcan}, J. Math. Anal. 1, No. 2, 1--8 (2010; Zbl 1312.60030)
Ericksen, Larry Golden tuple products. (English) Zbl 1263.11023 Congr. Numerantium 194, 109-121 (2009). Reviewer: Enzo Bonacci (Latina) MSC: 11B39 11B83 30B10 05A30 40A20 33C05 PDFBibTeX XMLCite \textit{L. Ericksen}, Congr. Numerantium 194, 109--121 (2009; Zbl 1263.11023)
Kadem, Abdelouahab The fractional transport equation: an analytical solution and a spectral approximation by Chebyshev polynomials. (English) Zbl 1190.45009 Appl. Sci. 11, 78-90 (2009). Reviewer: Constantin Corduneanu (Arlington) MSC: 45K05 45L05 65D32 82D75 40A10 41A50 PDFBibTeX XMLCite \textit{A. Kadem}, Appl. Sci. 11, 78--90 (2009; Zbl 1190.45009) Full Text: EuDML EMIS
Li, Shengfeng; Tan, Jieqing; Xie, Jin; Huo, Xing Chebyshev’s iterative formula for solving equations based on the Thiele’s continued fraction. (Chinese. English summary) Zbl 1199.65161 J. Hefei Univ. Technol., Nat. Sci. 31, No. 7, 1131-1133 (2008). MSC: 65H05 40A15 PDFBibTeX XMLCite \textit{S. Li} et al., J. Hefei Univ. Technol., Nat. Sci. 31, No. 7, 1131--1133 (2008; Zbl 1199.65161)
Khrushchev, Sergey Orthogonal polynomials and continued fractions. From Euler’s point of view. (English) Zbl 1151.33002 Encyclopedia of Mathematics and its Applications 122. Cambridge: Cambridge University Press (ISBN 978-0-521-85419-1/hbk). xvi, 478 p. (2008). Reviewer: Juri M. Rappoport (Moskva) MSC: 33-02 33C45 40A15 41A21 42C05 PDFBibTeX XMLCite \textit{S. Khrushchev}, Orthogonal polynomials and continued fractions. From Euler's point of view. Cambridge: Cambridge University Press (2008; Zbl 1151.33002)
Lorentzen, Lisa; Waadeland, Haakon Continued fractions. Vol. 1: Convergence theory. 2nd ed. (English) Zbl 1180.40001 Atlantis Studies in Mathematics for Engineering and Science 1. Hackensack, NJ: World Scientific (ISBN 978-90-78677-07-9/hbk). xii, 308 p. (2008). Reviewer: Peter Wynn (Zacatecas) MSC: 40-02 40A15 30B70 65B99 PDFBibTeX XMLCite \textit{L. Lorentzen} and \textit{H. Waadeland}, Continued fractions. Vol. 1: Convergence theory. 2nd ed. Hackensack, NJ: World Scientific (2008; Zbl 1180.40001)
Jukna, Stasys Crash course mathematics for computer scientists. (Crashkurs Mathematik für Informatiker.) (German) Zbl 1141.00004 Leitfäden der Informatik. Wiesbaden: Teubner (ISBN 978-3-8351-0216-3/pbk). xii, 315 p. (2008). Reviewer: Dieter Riebesehl (Lüneburg) MSC: 00A06 00A05 05-01 15-01 26-01 40-01 60-01 PDFBibTeX XMLCite \textit{S. Jukna}, Crashkurs Mathematik für Informatiker. Wiesbaden: Teubner (2008; Zbl 1141.00004)
Gautschi, Walter Leonhard Euler’s handling of slowly convergent series. (Leonhard Eulers Umgang mit langsam konvergenten Reihen.) (German) Zbl 1390.41035 Elem. Math. 62, No. 4, 174-183 (2007). MSC: 41A50 40-03 11-03 40A05 PDFBibTeX XMLCite \textit{W. Gautschi}, Elem. Math. 62, No. 4, 174--183 (2007; Zbl 1390.41035) Full Text: DOI
Kadem, Abdelouahab New developments in the discrete ordinates approximation for the three dimensional transport equation. (English) Zbl 1164.35307 An. Univ. Oradea, Fasc. Mat. 13, 195-214 (2006). MSC: 35A25 12E10 82D75 40A05 PDFBibTeX XMLCite \textit{A. Kadem}, An. Univ. Oradea, Fasc. Mat. 13, 195--214 (2006; Zbl 1164.35307)
Suetin, S. P. On the convergence of Chebyshev continued fractions for elliptic functions. (English. Russian original) Zbl 1071.30001 Sb. Math. 194, No. 12, 1807-1835 (2003); translation from Mat. Sb. 194, No. 12, 63-92 (2003). Reviewer: Michael M. Pahirya (Uzhgorod) MSC: 30B70 33E05 33F05 14K20 34M50 40A15 PDFBibTeX XMLCite \textit{S. P. Suetin}, Sb. Math. 194, No. 12, 1807--1835 (2003; Zbl 1071.30001); translation from Mat. Sb. 194, No. 12, 63--92 (2003) Full Text: DOI
Chen, Kung-Yu; Chyan, Chuan-Jen; Srivastava, H. M. Certain classes of polynomial expansions and multiplication formulas. (English) Zbl 1077.33011 Math. Comput. Modelling 37, No. 1-2, 135-154 (2003). MSC: 33C45 40A30 PDFBibTeX XMLCite \textit{K.-Y. Chen} et al., Math. Comput. Modelling 37, No. 1--2, 135--154 (2003; Zbl 1077.33011) Full Text: DOI
Al-Khaled, Kamel On the rate of convergence for the Chebyshev series. (English) Zbl 1031.41010 Missouri J. Math. Sci. 14, No. 1, 7 p. (2002). Reviewer: Daniel Cárdenas-Morales (Jaén) MSC: 41A25 40A05 PDFBibTeX XMLCite \textit{K. Al-Khaled}, Missouri J. Math. Sci. 14, No. 1, 7 p. (2002; Zbl 1031.41010)
Nakamura, Yoshimasa Continued fractions and integrable systems. (English) Zbl 0998.37019 Harnad, John (ed.) et al., Isomonodromic deformations and applications in physics. CRM workshop, Montréal, Canada, May 1-6, 2000. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 31, 163-173 (2002). Reviewer: Marcel G.de Bruin (Delft) MSC: 37K10 40A15 30B70 33C45 PDFBibTeX XMLCite \textit{Y. Nakamura}, in: Isomonodromic deformations and applications in physics. CRM workshop, Montréal, Canada, May 1--6, 2000. Providence, RI: American Mathematical Society (AMS). 163--173 (2002; Zbl 0998.37019)
Leindler, László On the connection of coefficient and structural conditions about Fourier series. (English) Zbl 1002.42001 Hokkaido Math. J. 31, No. 1, 261-273 (2002). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42A16 41A50 40A05 PDFBibTeX XMLCite \textit{L. Leindler}, Hokkaido Math. J. 31, No. 1, 261--273 (2002; Zbl 1002.42001) Full Text: DOI
Zhang, Wen-Bin A Chebyshev type upper estimate for prime elements in additive arithmetic semigroups. (English) Zbl 0972.11090 Monatsh. Math. 129, No. 3, 227-260 (2000). Reviewer: Helmut Müller (Hamburg) MSC: 11N45 11N80 11T55 40E05 PDFBibTeX XMLCite \textit{W.-B. Zhang}, Monatsh. Math. 129, No. 3, 227--260 (2000; Zbl 0972.11090) Full Text: DOI
Melham, R. S. Twenty-two infinite sums involving the sine and cosine functions. (English) Zbl 1017.40001 Int. J. Math. Educ. Sci. Technol. 30, No. 4, 595-602 (1999). MSC: 40-01 PDFBibTeX XMLCite \textit{R. S. Melham}, Int. J. Math. Educ. Sci. Technol. 30, No. 4, 595--602 (1999; Zbl 1017.40001)
Barrios, D.; López, G.; Martínez-Finkelshtein, A.; Torrano, E. Finite-dimensional approximations of the resolvent of an infinite band matrix and continued fractions. (English. Russian original) Zbl 0935.47011 Sb. Math. 190, No. 4, 501-519 (1999); translation from Mat. Sb. 190, No. 4, 23-42 (1999). MSC: 47A55 47A10 40A15 30B70 47B37 PDFBibTeX XMLCite \textit{D. Barrios} et al., Sb. Math. 190, No. 4, 501--519 (1999; Zbl 0935.47011); translation from Mat. Sb. 190, No. 4, 23--42 (1999) Full Text: DOI
Baumann, Astrid Projective point scales and summation formula for Chebyshev polynomials. (Projektive Punktskalen und Summationsformeln für Tschebyscheff-Polynome.) (German) Zbl 0934.33011 Math. Semesterber. 45, No. 2, 167-188 (1998). Reviewer: J.Saurer (Regensburg) MSC: 33C45 40A05 PDFBibTeX XMLCite \textit{A. Baumann}, Math. Semesterber. 45, No. 2, 167--188 (1998; Zbl 0934.33011) Full Text: DOI
Kortram, R. A. Simple proofs for \(\sum_{k=1}^ \infty\frac1{k^ 2}=\frac{\pi^ 2}6\) and \(\sin x=x\prod_{k=1}^ \infty(1-\frac{x^ 2}{k^ 2\pi^ 2})\). (English) Zbl 0860.40001 Math. Mag. 69, No. 2, 122-125 (1996). Reviewer: T.M.Apostol (Pasadena) MSC: 40A05 33B10 PDFBibTeX XMLCite \textit{R. A. Kortram}, Math. Mag. 69, No. 2, 122--125 (1996; Zbl 0860.40001) Full Text: DOI
Kalyagin, V. A. On rational approximations of the resolvent function of a second-order difference operator. (English. Russian original) Zbl 0838.47027 Russ. Math. Surv. 49, No. 3, 187-189 (1994); translation from Usp. Mat. Nauk 49, No. 3(297), 181-182 (1994). Reviewer: J.Gilewicz (Marseille) MSC: 47B99 41A20 40A15 PDFBibTeX XMLCite \textit{V. A. Kalyagin}, Russ. Math. Surv. 49, No. 3, 1 (1994; Zbl 0838.47027); translation from Usp. Mat. Nauk 49, No. 3(297), 181--182 (1994) Full Text: DOI
Kovacheva, R.; Saff, E. B. Zeros of Padé approximants for entire functions with smooth Maclaurin coefficients. (English) Zbl 0813.41014 J. Approximation Theory 79, No. 3, 347-384 (1994). Reviewer: A.Bultheel (Leuven) MSC: 41A21 41A50 30C15 40A05 PDFBibTeX XMLCite \textit{R. Kovacheva} and \textit{E. B. Saff}, J. Approx. Theory 79, No. 3, 347--384 (1994; Zbl 0813.41014) Full Text: DOI
Grosjean, Carl C. Miscellaneous problems solved in terms of Chebyshev’s orthogonal polynomials of the first and the second kind. (English) Zbl 0867.33001 Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 209-246 (1993). MSC: 33C45 11A55 40A15 42C05 PDFBibTeX XMLCite \textit{C. C. Grosjean}, in: Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 209--246 (1993; Zbl 0867.33001)
Fischer, Hans-Jürgen Sum of the reciprocals of the natural numbers without the digit 9. (Die Summe der Reziproken der natürlichen Zahlen ohne Ziffer 9.) (German) Zbl 0797.11010 Elem. Math. 48, No. 3, 100-106 (1993). Reviewer: P.Bundschuh (Köln) MSC: 11A63 40A25 PDFBibTeX XMLCite \textit{H.-J. Fischer}, Elem. Math. 48, No. 3, 100--106 (1993; Zbl 0797.11010) Full Text: EuDML
Ivan, Mircea An elementary method for the calculation of an Euler type series. (English) Zbl 0855.40004 Autom. Comput. Appl. Math. 1, No. 1, 109-113 (1992). MSC: 40A05 PDFBibTeX XMLCite \textit{M. Ivan}, Autom. Comput. Appl. Math. 1, No. 1, 109--113 (1992; Zbl 0855.40004)
Ivan, Mircea The Chebyshev polynomials and an Euler type series. (English) Zbl 0855.40003 Autom. Comput. Appl. Math. 1, No. 2, 99-102 (1992). MSC: 40A05 PDFBibTeX XMLCite \textit{M. Ivan}, Autom. Comput. Appl. Math. 1, No. 2, 99--102 (1992; Zbl 0855.40003)
Huotari, Robert; Sahab, Salem Simultaneous monotone approximation in low-order mean. (English) Zbl 0751.41016 Bull. Aust. Math. Soc. 45, No. 3, 423-437 (1992). Reviewer: G.D.Dikshit (Auckland) MSC: 41A28 40A05 40A30 41A30 PDFBibTeX XMLCite \textit{R. Huotari} and \textit{S. Sahab}, Bull. Aust. Math. Soc. 45, No. 3, 423--437 (1992; Zbl 0751.41016) Full Text: DOI
Tang, Youhua; Liu, Xuepeng Arithmetic sequence of higher order in its broad sense. (Chinese. English summary) Zbl 0780.40002 Nat. Sci. J. Xiangtan Univ. 13, No. 4, 36-42 (1991). Reviewer: P.-Y.Lee (Singapore) MSC: 40A25 PDFBibTeX XMLCite \textit{Y. Tang} and \textit{X. Liu}, Nat. Sci. J. Xiangtan Univ. 13, No. 4, 36--42 (1991; Zbl 0780.40002)
Ismail, M. E. H.; Masson, D. R.; Saff, E. B. A minimal solution approach to polynomial asymptotics. (English) Zbl 0836.30004 Brezinski, Claude (ed.) et al., Orthogonal polynomials and their applications. Proceedings of the third international symposium held in Erice, Italy, June 1-8, 1990. Basel: J. C. Baltzer, IMACS Ann. Comput. Appl. Math. 9, 299-303 (1991). Reviewer: L.Lorentzen (Trondheim) MSC: 30B70 40A15 33C45 39A10 PDFBibTeX XMLCite \textit{M. E. H. Ismail} et al., IMACS Ann. Comput. Appl. Math. 9, 299--303 (1991; Zbl 0836.30004)
Thomann, Jean Resummation of formal series. Solutions of second order linear complex ordinary differential equations near irregular singularities. (Resommation des series formelles. Solutions d’équations différentielles linéaires ordinaires du second ordre dans le champ complexe au voisinage de singularités irrégulières.) (French) Zbl 0701.30002 Numer. Math. 58, No. 5, 503-535 (1990). Reviewer: J. Thomann MSC: 30B10 30B30 30B40 30E15 34M35 40A05 65B10 65L07 34D05 PDFBibTeX XMLCite \textit{J. Thomann}, Numer. Math. 58, No. 5, 503--535 (1991; Zbl 0701.30002) Full Text: DOI EuDML
Baur, Gerhard; Shawyer, Bruce Best \(L^ 2\)-approximation of convergent moment series. (English) Zbl 0695.41012 Math. Comput. 54, No. 190, 661-669 (1990). MSC: 41A50 41A10 41A25 40A25 PDFBibTeX XMLCite \textit{G. Baur} and \textit{B. Shawyer}, Math. Comput. 54, No. 190, 661--669 (1990; Zbl 0695.41012) Full Text: DOI
Gingold, H.; Gould, H. W.; Mays, Michael E. Power product expansions. (English) Zbl 0676.41030 Util. Math. 34, 143-161 (1988). Reviewer: T.Šalát MSC: 41A46 41A50 40A20 PDFBibTeX XMLCite \textit{H. Gingold} et al., Util. Math. 34, 143--161 (1988; Zbl 0676.41030)
Walter, Gilbert G. Sampling bandlimited functions of polynomial growth. (English) Zbl 0648.42003 SIAM J. Math. Anal. 19, No. 5, 1198-1203 (1988). MSC: 42A38 41A05 41A50 40G05 PDFBibTeX XMLCite \textit{G. G. Walter}, SIAM J. Math. Anal. 19, No. 5, 1198--1203 (1988; Zbl 0648.42003) Full Text: DOI
Scraton, R. E. A comparison of some Taylor and Chebyshev series. (English) Zbl 0641.65004 Math. Comput. 50, No. 181, 207-213 (1988). Reviewer: A.López-Carmona MSC: 65B10 65D15 40A30 41A50 PDFBibTeX XMLCite \textit{R. E. Scraton}, Math. Comput. 50, No. 181, 207--213 (1988; Zbl 0641.65004) Full Text: DOI
Longman, I. M. The summation of Fourier, Chebyshev, and Legendre series. (English) Zbl 0638.40001 Appl. Math. Comput. 23, 61-70 (1987). MSC: 40A25 42A24 PDFBibTeX XMLCite \textit{I. M. Longman}, Appl. Math. Comput. 23, 61--70 (1987; Zbl 0638.40001) Full Text: DOI
Móricz, F.; Rhoades, B. E. Approximation by Nörlund means of double Fourier series to continuous functions in two variables. (English) Zbl 0624.42002 Constructive Approximation 3, 281-296 (1987). Reviewer: S.M.Shah MSC: 42A10 41A50 42B05 40G05 PDFBibTeX XMLCite \textit{F. Móricz} and \textit{B. E. Rhoades}, Constr. Approx. 3, 281--296 (1987; Zbl 0624.42002) Full Text: DOI
Moricz, F.; Rhoades, B. E. Approximation to continuous functions by triangular summability methods. (English) Zbl 0621.41020 Analysis 7, 113-127 (1987). Reviewer: M.Nashed MSC: 41A50 42B05 40G05 PDFBibTeX XMLCite \textit{F. Moricz} and \textit{B. E. Rhoades}, Analysis 7, 113--127 (1987; Zbl 0621.41020) Full Text: DOI
Zheng, Xuean; Xu, Zengfu; Zhao, Hesheng Approximation by polynomials on compact Lie groups. I. (Chinese. English summary) Zbl 0615.43005 Adv. Math., Beijing 16, No. 1, 61-66 (1987). MSC: 43A55 41A35 40J05 41A10 41A50 PDFBibTeX XMLCite \textit{X. Zheng} et al., Adv. Math., Beijing 16, No. 1, 61--66 (1987; Zbl 0615.43005)
Trojan, G. M. Generalized Faber polynomials and an optimal error recovery algorithm. (English) Zbl 0598.41025 Constructive Approximation 2, 101-111 (1986). Reviewer: D.N.Zarnadze MSC: 41A45 41A50 41A60 65B10 65E05 40A25 PDFBibTeX XMLCite \textit{G. M. Trojan}, Constr. Approx. 2, 101--111 (1986; Zbl 0598.41025) Full Text: DOI
Shawyer, B. L. R. Best approximation of positive power series. (English) Zbl 0555.41017 Math. Comput. 43, 529-534 (1984). MSC: 41A25 41A50 41A10 40A25 PDFBibTeX XMLCite \textit{B. L. R. Shawyer}, Math. Comput. 43, 529--534 (1984; Zbl 0555.41017) Full Text: DOI
Salzer, Herbert E.; Levine, Norman Tables for converting polynomials and power series into Chebyshev series. (English) Zbl 0544.65002 New York: Applied Science Publications, Inc. 10, 65 p. $12.00 (1984). MSC: 65A05 65B10 65-01 40A25 PDFBibTeX XML
Lomovtseva, I. V. Best uniform approximation of functions by continued fractions. (Russian) Zbl 0553.41033 Metody Vychisl. 13, 215-223 (1983). Reviewer: István Szalay (Szeged) MSC: 41A50 40A15 PDFBibTeX XMLCite \textit{I. V. Lomovtseva}, Metody Vychisl. 13, 215--223 (1983; Zbl 0553.41033)
Labunets, L. N. On the question of approximation of functions continuous on an interval by averaged de la Vallée-Poussin sums. (English. Russian original) Zbl 0536.42025 Sov. Math. 27, No. 8, 37-39 (1983); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1983, No. 8(255), 32-33 (1983). Reviewer: V.Veselý MSC: 42C10 40G05 42C20 PDFBibTeX XMLCite \textit{L. N. Labunets}, Sov. Math. 27, No. 8, 37--39 (1983; Zbl 0536.42025); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1983, No. 8(255), 32--33 (1983)
Mo, Ye Integrability theorems for series of polynomial terms. (Chinese) Zbl 0519.33008 J. Shandong Univ., Nat. Sci. Ed. 1982, No. 2, 1-25 (1982). MSC: 33C45 40A05 40A10 PDFBibTeX XMLCite \textit{Y. Mo}, J. Shandong Univ., Nat. Sci. Ed. 1982, No. 2, 1--25 (1982; Zbl 0519.33008)
Jurkat, W. B.; Shawyer, B. L. R. Best approximations of alternating series. (English) Zbl 0516.40001 J. Approximation Theory 34, 397-422 (1982). MSC: 40A25 41A50 65B10 40C05 41A10 33C45 PDFBibTeX XMLCite \textit{W. B. Jurkat} and \textit{B. L. R. Shawyer}, J. Approx. Theory 34, 397--422 (1982; Zbl 0516.40001) Full Text: DOI
Deutsch, Frank; Lapidot, Eitan Convergence from approximating subspaces. (English) Zbl 0485.41026 J. Approximation Theory 32, 281-291 (1981). MSC: 41A50 41A65 46E15 40A30 46B25 46E30 PDFBibTeX XMLCite \textit{F. Deutsch} and \textit{E. Lapidot}, J. Approx. Theory 32, 281--291 (1981; Zbl 0485.41026) Full Text: DOI
Falaleev, L. P. Approximate properties of the matrix method for summation of Fourier- Chebyshev series. (Russian) Zbl 0458.42018 Theory of cubature formulas and numerical mathematics, Pap. Conf. Differential equations and numerical mathematics, Novosibirsk 1978, 188-191 (1980). MSC: 42C10 40C05 PDFBibTeX XML
Kholshevnikov, K. V. Sharp estimates for the remainder in the Laplace series of a smooth function. (English) Zbl 0446.42013 Vestn. Leningr. Univ., Math. 8, 303-309 (1980). MSC: 42C10 40A05 41A50 30B50 PDFBibTeX XMLCite \textit{K. V. Kholshevnikov}, Vestn. Leningr. Univ., Math. 8, 303--309 (1980; Zbl 0446.42013)
Görlich, E.; Markett, C. On approximation by Cesaro means of the Laguerre expansion and best approximation. (English) Zbl 0388.42008 Result. Math. 2, 124-150 (1979). MSC: 42C10 42A85 41A10 41A50 40G05 PDFBibTeX XMLCite \textit{E. Görlich} and \textit{C. Markett}, Result. Math. 2, 124--150 (1979; Zbl 0388.42008) Full Text: DOI
Liu, Matthew; Rhoades, B. E. Some properties of the Chebyshev method. (English) Zbl 0372.40004 Pac. J. Math. 80, 213-225 (1979). MSC: 40G99 40G05 42A24 PDFBibTeX XMLCite \textit{M. Liu} and \textit{B. E. Rhoades}, Pac. J. Math. 80, 213--225 (1979; Zbl 0372.40004) Full Text: DOI
Reich, Simeon Almost convergence and nonlinear ergodic theorems. (English) Zbl 0404.47032 J. Approximation Theory 24, 269-272 (1978). MSC: 47H10 47H09 47H20 47A35 40C05 41A50 PDFBibTeX XMLCite \textit{S. Reich}, J. Approx. Theory 24, 269--272 (1978; Zbl 0404.47032) Full Text: DOI
Vasil’ev, N. I.; Klokov, Yu. A. On the convergence of series expansions of some functions in Chebyshev polynomials. (Russian) Zbl 0417.65001 Latv. Mat. Ezheg. 19, 3-11 (1976). MSC: 65B10 33C45 40A05 41A58 PDFBibTeX XMLCite \textit{N. I. Vasil'ev} and \textit{Yu. A. Klokov}, Latv. Mat. Ezheg. 19, 3--11 (1976; Zbl 0417.65001)
Salzer, Herbert E. Converting interpolation series into Chebyshev series by recurrence formulas. (English) Zbl 0328.65003 Math. Comput. 30, 295-302 (1976). MSC: 65D05 65Q05 33C45 40-04 41A05 41A10 41A30 PDFBibTeX XMLCite \textit{H. E. Salzer}, Math. Comput. 30, 295--302 (1976; Zbl 0328.65003) Full Text: DOI
Oskolkov, K. I. An estimate of the rate of approximation of a continuous function and its conjugate by Fourier sums on a set of total measure. (English) Zbl 0315.42008 Math. USSR, Izv. 8(1974), 1372-1386 (1976). MSC: 42A50 42A10 41A45 41A50 40A25 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Math. USSR, Izv. 8, 1372--1386 (1976; Zbl 0315.42008) Full Text: DOI
Taberski, Roman A theorem of the Steckin and Leindler type connected with Abel summability of Fourier series. (English) Zbl 0309.42001 Demonstr. Math. 8, 215-225 (1975). MSC: 42A05 41A50 42A24 40G10 PDFBibTeX XMLCite \textit{R. Taberski}, Demonstr. Math. 8, 215--225 (1975; Zbl 0309.42001) Full Text: DOI
Nikol’skij, S. M. Approximation of functions of several variables and imbedding theorems. Translated from the Russian by J. M. Danskin. (English) Zbl 0307.46024 Die Grundlehren der mathematischen Wissenschaften. Band 205. Berlin-Heidelberg-New York: Springer-Verlag. VIII, 420 p. DM 108.00; $44.30 (1975). MSC: 46E35 46F05 46E30 46-02 46E25 33B10 35C10 40B05 41A50 41A60 42A24 42A38 44A40 PDFBibTeX XML
Oskolkov, K. I. Estimation of the rate of approximation of a continuous function and its conjugate by Fourier sums on a set of full measure. (Russian) Zbl 0307.42002 Izv. Akad. Nauk SSSR, Ser. Mat. 38, 1393-1407 (1974). MSC: 42A10 41A45 41A50 40A25 42A50 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Izv. Akad. Nauk SSSR, Ser. Mat. 38, 1393--1407 (1974; Zbl 0307.42002)
Dahmen, W.; Görlich, E. Asymptotically optimal linear approximation processes and a conjecture of Golomb. (English) Zbl 0303.41015 Linear Operators Approx. II, Proc. Conf. Oberwolfach 1974, ISNM 25, 327-335 (1974). MSC: 41A25 41A50 40A05 41A35 42A10 PDFBibTeX XML
Dahmen, Wolfgang; Görlich, Ernst A conjecture of M. Golomb on optimal and nearly-optimal linear approximation. (English) Zbl 0294.41019 Bull. Am. Math. Soc. 80, 1199-1202 (1974). MSC: 41A25 40A05 41A35 42A10 41A50 PDFBibTeX XMLCite \textit{W. Dahmen} and \textit{E. Görlich}, Bull. Am. Math. Soc. 80, 1199--1202 (1974; Zbl 0294.41019) Full Text: DOI
Goel, D. S.; Holland, A. S. B.; Nasim, C.; Sahney, B. N. Best approximation by a saturation class of polynomial operators. (English) Zbl 0252.41020 Pac. J. Math. 55(1974), 149-155 (1973). MSC: 41A40 42A24 41A50 40G05 PDFBibTeX XMLCite \textit{D. S. Goel} et al., Pac. J. Math. 55, 149--155 (1974; Zbl 0252.41020) Full Text: DOI
Chui, Charles K.; Ching, Chin-Hung Approximation of functions from their means. (English) Zbl 0319.41031 Approx. Theory, Proc. int. Symp., Austin 1973, 307-311 (1973). MSC: 41A50 30E10 40A05 41A10 41A65 PDFBibTeX XML
Tschebyscheff, P. L. On the continued fraction expansion of series along decreasing powers of the variable. (Ueber die Kettenbruchentwickelung der Reihen, welche nach absteigenden Potenzen der Veränderlichen fortgehen.) (Russian) JFM 24.0192.02 Petersb. Abh. LXXI. 3 (1892). Reviewer: Wassilieff, A., Prof. (Kasan) MSC: 30B70 40A15 41-XX PDFBibTeX XML
Possé, C. On some applications of algebraic continued fractions. (Sur quelques applications des fractions continues algébriques.) (French) JFM 18.0161.02 St. Pétersbourg (1886). Reviewer: Wassilieff, A., Prof. (Kazan) MSC: 30B70 40A15 65-XX PDFBibTeX XML Full Text: EuDML
Cesàro, E. On the inversion of certain series. (Sur l’inversion de certaines séries.) (French) JFM 17.0224.01 Brioschi Ann. (2) XIII, 339-351 (1885). Reviewer: Stolz, Prof. (Innsbruck) MSC: 40E99 PDFBibTeX XMLCite \textit{E. Cesàro}, Annali di Mat. (2) 13, 339--351 (1885; JFM 17.0224.01) Full Text: DOI
Chebyshev, P. L. On the representation of the limits of integrals with the help of residues. (Ueber die Darstellung der Grenzwerte der Integrale mit Hülfe der Residuen.) (Russian) JFM 17.0172.01 Petersb. Abh. Beilage zu Bd. 51, No. 4, 1-25 (1885). Reviewer: Wassilieff, A., Dr. (Kazan) MSC: 30B70 40A15 11A55 26A42 PDFBibTeX XML
Posse, C. On the problem of the limits of integrals and sums. (Zur Frage von den Grenzwerten der Integrale oder der Summen.) (Russian) JFM 17.0171.02 Chark. Ges. 35-58 (1885). Reviewer: Wassilieff, A., Dr. (Kazan) MSC: 40A15 30B70 11A55 26A42 PDFBibTeX XML
Chebyshev, P. L. On the generalization of a formula of Mr. Catalan. (Sur la généralisation d’une formule de Mr. Catalan.) (French) JFM 08.0139.02 Nouv. Corr. Math. II, 303-306 (1876). Reviewer: Mansion, Prof. (Gent) (Orthmann, Dr. (Berlin)) MSC: 40A25 PDFBibTeX XMLCite \textit{P. L. Chebyshev}, Nouv. Corr. Math. 2, 303--306 (1876; JFM 08.0139.02)