Malgrange, Bernard Summability of divergent series. (Sommation des séries divergentes.) (French) Zbl 0836.40004 Expo. Math. 13, No. 2-3, 163-222 (1995). Reviewer: B.Crstici (Timişoara) MSC: 40G99 34E05 PDFBibTeX XMLCite \textit{B. Malgrange}, Expo. Math. 13, No. 2--3, 163--222 (1995; Zbl 0836.40004)
Askey, R.; Boas, R. P. jun. Some integrability theorems for power series with positive coefficients. (English) Zbl 0212.41401 Math. Essays dedicated to A.J. Macintyre 23-32 (1970). MSC: 40C10 40G10 PDFBibTeX XML
Bingham, N. H. On Borel and Euler summability. (English) Zbl 0501.40006 J. Lond. Math. Soc., II. Ser. 29, 141-146 (1984). MSC: 40G05 40G10 PDFBibTeX XMLCite \textit{N. H. Bingham}, J. Lond. Math. Soc., II. Ser. 29, 141--146 (1984; Zbl 0501.40006) Full Text: DOI
Feintuch, Avraham; Francis, Bruce An infinite string of ants and Borel’s method of summability. (English) Zbl 1257.40002 Math. Intell. 34, No. 2, 15-18 (2012). Reviewer: İbrahim Çanak (İzmir) MSC: 40G10 34G10 PDFBibTeX XMLCite \textit{A. Feintuch} and \textit{B. Francis}, Math. Intell. 34, No. 2, 15--18 (2012; Zbl 1257.40002) Full Text: DOI
Tam, Laying General Euler-Borel summability of Fourier series. (English) Zbl 0777.42002 Analysis 13, No. 3, 201-206 (1993). MSC: 42A24 40G10 42A20 PDFBibTeX XMLCite \textit{L. Tam}, Analysis 13, No. 3, 201--206 (1993; Zbl 0777.42002) Full Text: DOI
Dokal, Alan D. An improvement of Watson’s theorem on Borel summability. (English) Zbl 0441.40012 J. Math. Phys. 21, 261-263 (1980). MSC: 40G10 81T99 PDFBibTeX XMLCite \textit{A. D. Dokal}, J. Math. Phys. 21, 261--263 (1980; Zbl 0441.40012) Full Text: DOI
Costin, O.; Park, H.; Takei, Y. Borel summability of the heat equation with variable coefficients. (English) Zbl 1241.40005 J. Differ. Equations 252, No. 4, 3076-3092 (2012). Reviewer: Igor Andrianov (Köln) MSC: 40G10 35K05 PDFBibTeX XMLCite \textit{O. Costin} et al., J. Differ. Equations 252, No. 4, 3076--3092 (2012; Zbl 1241.40005) Full Text: DOI
Keating, Jonathan P.; Reade, J. B. Summability of alternating gap series. (English) Zbl 0949.40016 Proc. Edinb. Math. Soc., II. Ser. 43, No. 1, 95-101 (2000). Reviewer: Babban Prasad Mishra (Gorakhpur) MSC: 40G10 40C99 PDFBibTeX XMLCite \textit{J. P. Keating} and \textit{J. B. Reade}, Proc. Edinb. Math. Soc., II. Ser. 43, No. 1, 95--101 (2000; Zbl 0949.40016) Full Text: DOI
Tam, Laying Cesàro and general Euler-Borel summability. (English) Zbl 0747.40006 Proc. Am. Math. Soc. 115, No. 3, 747-755 (1992). MSC: 40G05 40G10 PDFBibTeX XMLCite \textit{L. Tam}, Proc. Am. Math. Soc. 115, No. 3, 747--755 (1992; Zbl 0747.40006) Full Text: DOI
Fridy, J. A. Abel transformations into \(l^ 1\). (English) Zbl 0437.40006 Can. Math. Bull. 25, 421-427 (1982). MSC: 40D05 40D25 40E05 40G10 PDFBibTeX XMLCite \textit{J. A. Fridy}, Can. Math. Bull. 25, 421--427 (1982; Zbl 0437.40006) Full Text: DOI
Borwein, David A Tauberian theorem concerning Borel-type and Riesz summability methods. (English) Zbl 0763.40005 Can. Math. Bull. 35, No. 1, 14-20 (1992). Reviewer: T.Šalát (Bratislava) MSC: 40E05 PDFBibTeX XMLCite \textit{D. Borwein}, Can. Math. Bull. 35, No. 1, 14--20 (1992; Zbl 0763.40005) Full Text: DOI
Borwein, David; Kratz, Werner A one-sided Tauberian theorem for the Borel summability method. (English) Zbl 1043.40007 J. Math. Anal. Appl. 293, No. 1, 285-292 (2004). MSC: 40G10 40E05 PDFBibTeX XMLCite \textit{D. Borwein} and \textit{W. Kratz}, J. Math. Anal. Appl. 293, No. 1, 285--292 (2004; Zbl 1043.40007) Full Text: DOI
Borwein, David Asymptotic relationships between Dirichlet series. (English) Zbl 0723.40010 J. Math. Anal. Appl. 147, No. 2, 604-609 (1990). Reviewer: F.Barbieri (Modena) MSC: 40G10 PDFBibTeX XMLCite \textit{D. Borwein}, J. Math. Anal. Appl. 147, No. 2, 604--609 (1990; Zbl 0723.40010) Full Text: DOI
Tam, Laying A Tauberian theorem for the general Euler-Borel summability method. (English) Zbl 0756.40007 Can. J. Math. 44, No. 5, 1100-1120 (1992). MSC: 40E05 40G05 40G10 PDFBibTeX XMLCite \textit{L. Tam}, Can. J. Math. 44, No. 5, 1100--1120 (1992; Zbl 0756.40007) Full Text: DOI
Knopp, Konrad Theorie und Anwendung der unendlichen Reihen. 5. bericht. Aufl. (German) Zbl 0124.28302 Die Grundlehren der mathematischen Wissenschaften. 2. Berlin-Göttingen- Heidelberg-New York: Springer-Verlag. xii, 582 pp. (1964). MSC: 40-01 40Axx 40G10 PDFBibTeX XML Full Text: EuDML
Knopp, Konrad Infinite sequences and series. Translated by Frederick Bagemihl. (English) Zbl 0070.05807 New York: Dover Publications, Inc. 186 pp. (1956). Reviewer: V. Ganapathy Iyer MSC: 40-01 40Axx 40G10 PDFBibTeX XML
Bagemihl, F.; Erdős, Pál Rearrangments of \(C_1\)-summable series. (English) Zbl 0056.28202 Acta Math. 92, 35-53 (1954). Reviewer: D.Gaier MSC: 40A05 40G10 PDFBibTeX XMLCite \textit{F. Bagemihl} and \textit{P. Erdős}, Acta Math. 92, 35--53 (1954; Zbl 0056.28202) Full Text: DOI
Mazhar, S. M. On \((J,p_ n)\) summability of Fourier series. (English) Zbl 0673.42005 Int. J. Math. Math. Sci. 12, No. 1, 99-105 (1989). Reviewer: K.Tandori MSC: 42A24 40G10 PDFBibTeX XMLCite \textit{S. M. Mazhar}, Int. J. Math. Math. Sci. 12, No. 1, 99--105 (1989; Zbl 0673.42005) Full Text: DOI EuDML
Bingham, N. H.; Rogers, L. C. G. Summability methods and almost-sure convergence. (English) Zbl 0745.40003 Almost everywhere convergence II, Proc. 2nd Int. Conf., Evanston/IL (USA) 1989, 69-83 (1991). Reviewer: B.Ram (Rohtak) MSC: 40C99 28A20 40G05 40G10 PDFBibTeX XMLCite \textit{N. H. Bingham} and \textit{L. C. G. Rogers}, in: Almost everywhere convergence II. Proceedings of the 2nd international conference on almost everywhere convergence in probability and ergodic theory, Evanston, IL, USA, October 16-20, 1989. Boston, MA etc.: Academic Press, Inc.. 69--83 (1991; Zbl 0745.40003)
Obrechkoff, Nikola Reprinted paper: On the summation of Taylor’s series on the contour of the domain of summability. (English) Zbl 1392.40001 Fract. Calc. Appl. Anal. 19, No. 5, 1316-1346 (2016). MSC: 40-03 40G05 40G10 33E12 01A75 PDFBibTeX XMLCite \textit{N. Obrechkoff}, Fract. Calc. Appl. Anal. 19, No. 5, 1316--1346 (2016; Zbl 1392.40001) Full Text: DOI
Sharma, P. L.; Dixit, S. S.; Shukla, Y. B. On almost Borel summability of Fourier series. (English) Zbl 0362.42002 Tamkang J. Math. 8, 61-65 (1977). MSC: 42A24 40G10 PDFBibTeX XMLCite \textit{P. L. Sharma} et al., Tamkang J. Math. 8, 61--65 (1977; Zbl 0362.42002)
Hardy, G. H. Divergent series. 2nd (textually unaltered) ed. (English) Zbl 0897.01044 New York, NY: Chelsea. xvi, 396 p. (1991). MSC: 01A75 40-01 40-03 PDFBibTeX XMLCite \textit{G. H. Hardy}, Divergent series. 2nd (textually unaltered) ed. New York, NY: Chelsea (1991; Zbl 0897.01044)
Muckenhoupt, Benjamin Two weight function norm inequalities for the Poisson integral. (English) Zbl 0311.42008 Trans. Am. Math. Soc. 210, 225-231 (1975). MSC: 42A24 40G10 26D15 44A15 PDFBibTeX XMLCite \textit{B. Muckenhoupt}, Trans. Am. Math. Soc. 210, 225--231 (1975; Zbl 0311.42008) Full Text: DOI
Mazhar, S. M. Corrigendum: On \((J,p_ n)\) summability of Fourier series. (English) Zbl 0691.42007 Int. J. Math. Math. Sci. 12, No. 3, 614 (1989). MSC: 42A24 40G10 PDFBibTeX XMLCite \textit{S. M. Mazhar}, Int. J. Math. Math. Sci. 12, No. 3, 614 (1989; Zbl 0691.42007) Full Text: DOI EuDML
Borwein, David; Meir, Amram A Tauberian theorem concerning weighted means and power series. (English) Zbl 0633.40013 Math. Proc. Camb. Philos. Soc. 101, 283-286 (1986). MSC: 40G10 40E05 PDFBibTeX XMLCite \textit{D. Borwein} and \textit{A. Meir}, Math. Proc. Camb. Philos. Soc. 101, 283--286 (1986; Zbl 0633.40013) Full Text: DOI
Rhoades, B. E. Matrix summability of Fourier series based on inclusion theorems. II. (English) Zbl 0780.42009 J. Math. Anal. Appl. 130, No. 2, 525-537 (1988). Reviewer: S.N.Bhatt (Allahabad) MSC: 42A24 40D25 40C05 40G05 PDFBibTeX XMLCite \textit{B. E. Rhoades}, J. Math. Anal. Appl. 130, No. 2, 525--537 (1988; Zbl 0780.42009) Full Text: DOI
Bingham, N. H. Tauberian theorems for Jakimovski and Karamata-Stirling methods. (English) Zbl 0672.40003 Mathematika 35, No. 2, 216-224 (1988). Reviewer: N.H.Bingham MSC: 40F05 PDFBibTeX XMLCite \textit{N. H. Bingham}, Mathematika 35, No. 2, 216--224 (1988; Zbl 0672.40003) Full Text: DOI
Miller, Harry I. A measure theoretical subsequence characterization of statistical convergence. (English) Zbl 0830.40002 Trans. Am. Math. Soc. 347, No. 5, 1811-1819 (1995). Reviewer: T.Leiger (Tartu) MSC: 40A05 40D25 28A12 40G99 PDFBibTeX XMLCite \textit{H. I. Miller}, Trans. Am. Math. Soc. 347, No. 5, 1811--1819 (1995; Zbl 0830.40002) Full Text: DOI
Chandra, Prem Functions belonging to lip \(\alpha\) and lip(\(\alpha\) ,p) spaces and their approximations. (English) Zbl 0664.42003 Soochow J. Math. 13, No. 1, 9-22 (1987). Reviewer: T.Ahobadze MSC: 42A24 PDFBibTeX XMLCite \textit{P. Chandra}, Soochow J. Math. 13, No. 1, 9--22 (1987; Zbl 0664.42003)
Natarajan, P. N. On the \((M,\lambda _{n})\) method of summability. (English) Zbl 1270.40005 Analysis, München 33, No. 1, 51-56 (2013). Reviewer: Umit Totur (Aydin) MSC: 40C05 40D25 40G10 PDFBibTeX XMLCite \textit{P. N. Natarajan}, Analysis, München 33, No. 1, 51--56 (2013; Zbl 1270.40005) Full Text: DOI
Miyake, Masatake Borel summability of divergent solutions of the Cauchy problem to non-Kowalewskian equations. (English) Zbl 0990.35005 Chen, Hua (ed.) et al., Partial differential equations and their applications. Proceedings of the conference, Wuhan, China, April 5-9, 1999. Singapore: World Scientific. 225-239 (1999). Reviewer: L.Rodino (Torino) MSC: 35A10 35C10 PDFBibTeX XMLCite \textit{M. Miyake}, in: Partial differential equations and their applications. Proceedings of the conference, Wuhan, China, April 5--9, 1999. Singapore: World Scientific. 225--239 (1999; Zbl 0990.35005)
Trigub, R. M. Summability of trigonometric Fourier series at \(d\)-points and a generalization of the Abel-Poisson method. (English. Russian original) Zbl 1333.42004 Izv. Math. 79, No. 4, 838-858 (2015); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 79, No. 4, 205-224 (2015). Reviewer: Ferenc Weisz (Budapest) MSC: 42A24 42B08 40G10 PDFBibTeX XMLCite \textit{R. M. Trigub}, Izv. Math. 79, No. 4, 838--858 (2015; Zbl 1333.42004); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 79, No. 4, 205--224 (2015) Full Text: DOI
Bingham, N. H.; Goldie, C. M. On one-sided Tauberian conditions. (English) Zbl 0497.40003 Analysis 3, 159-188 (1983). MSC: 40E05 PDFBibTeX XMLCite \textit{N. H. Bingham} and \textit{C. M. Goldie}, Analysis 3, 159--188 (1983; Zbl 0497.40003) Full Text: DOI
Agnew, R. P. Borel transforms of Tauberian series. (English) Zbl 0077.06502 Math. Z. 67, 51-62 (1957). Reviewer: V. Garten MSC: 40G10 40D10 40E10 PDFBibTeX XMLCite \textit{R. P. Agnew}, Math. Z. 67, 51--62 (1957; Zbl 0077.06502) Full Text: DOI EuDML
Kratz, Werner; Stadtmüller, Ulrich Tauberian theorems for Borel-type methods of summability. (English) Zbl 0681.40006 Arch. Math. 55, No. 5, 465-474 (1990). Reviewer: W.Kratz MSC: 40E05 40E10 40G10 PDFBibTeX XMLCite \textit{W. Kratz} and \textit{U. Stadtmüller}, Arch. Math. 55, No. 5, 465--474 (1990; Zbl 0681.40006) Full Text: DOI
Tenenbaum, Gérald Sur le procédé de sommation de Borel et la répartition du nombre des facteurs premiers des entiers. (French) Zbl 0464.10035 Enseign. Math., II. Sér. 26, 225-245 (1980). MSC: 11N05 11K65 40G10 PDFBibTeX XMLCite \textit{G. Tenenbaum}, Enseign. Math. (2) 26, 225--245 (1980; Zbl 0464.10035)
Krishnan, V. K. A gap Tauberian theorem connecting Borel and Cesàro summabilities. (English) Zbl 0918.40006 J. Anal. 5, 9-24 (1997). MSC: 40G10 40E05 40G05 PDFBibTeX XMLCite \textit{V. K. Krishnan}, J. Anal. 5, 9--24 (1997; Zbl 0918.40006)
Mohapatra, R. N.; Chandra, Prem Hölder continuous functions and their Euler, Borel and Taylor means. (English) Zbl 0512.42008 Math. Chron. 11, No. 2, 81-96 (1982). MSC: 42A24 PDFBibTeX XMLCite \textit{R. N. Mohapatra} and \textit{P. Chandra}, Math. Chron. 11, No. 2, 81--96 (1982; Zbl 0512.42008)
Shawyer, Bruce; Watson, Bruce Borel’s methods of summability. Theory and applications. (English) Zbl 0840.40001 Oxford: Clarendon Press. xii, 242 p. (1994). Reviewer: W.Beekmann (Hagen) MSC: 40-02 40G10 40E05 PDFBibTeX XMLCite \textit{B. Shawyer} and \textit{B. Watson}, Borel's methods of summability. Theory and applications. Oxford: Clarendon Press (1994; Zbl 0840.40001)
Stoiński, Stanisław On a generalized summation of Fourier series by means of the method of the Borel type. (English) Zbl 1027.42005 Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 42, No. 2, 251-259 (2002). Reviewer: Laszlo Leindler (Szeged) MSC: 42A24 42A10 PDFBibTeX XMLCite \textit{S. Stoiński}, Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 42, No. 2, 251--259 (2002; Zbl 1027.42005)
Powell, R. E.; Shah, S. M. Summability theory and applications. Rev. ed. (English) Zbl 0665.40001 New Delhi: Prentice-Hall of India. 164 p. Rs. 75.00 (1988). Reviewer: J.Fridy MSC: 40-01 40A05 40D25 40E05 40Cxx 40Gxx 42A38 PDFBibTeX XMLCite \textit{R. E. Powell} and \textit{S. M. Shah}, Summability theory and applications. Rev. ed. New Delhi: Prentice-Hall of India (1988; Zbl 0665.40001)
Meyer-König, Werner; Zeller, Karl Tauber-Sätze und M-Perfektheit. (German) Zbl 0443.40005 Math. Z. 177, 257-266 (1981). MSC: 40E05 40J05 PDFBibTeX XMLCite \textit{W. Meyer-König} and \textit{K. Zeller}, Math. Z. 177, 257--266 (1981; Zbl 0443.40005) Full Text: DOI EuDML
Tietz, Hubert; Zeller, Karl The Tauberian gap theorem for the Abel method. (English) Zbl 0973.40002 Jain, Pawan K. (ed.) et al., Sequence spaces and applications. New Delhi: Narosa Publishing House. 130-134 (1999). MSC: 40E05 40G10 PDFBibTeX XMLCite \textit{H. Tietz} and \textit{K. Zeller}, in: Sequence spaces and applications. New Delhi: Narosa Publishing House. 130--134 (1999; Zbl 0973.40002)
Mazhar, S. M. Integrability of power series. (English) Zbl 0751.40004 Soochow J. Math. 17, No. 2, 253-260 (1991). Reviewer: J. L. Teugels (Heverlee) MSC: 40C10 40G10 PDFBibTeX XMLCite \textit{S. M. Mazhar}, Soochow J. Math. 17, No. 2, 253--260 (1991; Zbl 0751.40004)
Stadtmüller, Ulrich A note on the law of iterated logarithm for weighted sums of random variables. (English) Zbl 0537.60023 Ann. Probab. 12, 35-44 (1984). MSC: 60F15 40C05 PDFBibTeX XMLCite \textit{U. Stadtmüller}, Ann. Probab. 12, 35--44 (1984; Zbl 0537.60023) Full Text: DOI
Dixit, S. S.; Shukla, Y. B. On a sequence of Fourier coefficients. (English) Zbl 0433.42007 Jnanabha 7, 21-24 (1977). MSC: 42A24 42A50 40G05 40G10 PDFBibTeX XMLCite \textit{S. S. Dixit} and \textit{Y. B. Shukla}, Jñānābha 7, 21--24 (1977; Zbl 0433.42007)
Rempulska, L. Remarks on the strong summability of numerical and orthogonal series by some methods of Abel type. (English) Zbl 0647.40005 Acta Sci. Math. 50, 391-396 (1986). Reviewer: W.Miesner MSC: 40F05 40G10 PDFBibTeX XMLCite \textit{L. Rempulska}, Acta Sci. Math. 50, 391--396 (1986; Zbl 0647.40005)
Hardy, G. H. An extension of a theorem on oscillating series. (English) JFM 44.0283.02 Proc. Lond. Math. Soc. (2) 12, 174-180 (1913). Reviewer: Knopp, K., Prof. (Berlin) MSC: 40A05 40G10 PDFBibTeX XMLCite \textit{G. H. Hardy}, Proc. Lond. Math. Soc. (2) 12, 174--180 (1913; JFM 44.0283.02) Full Text: DOI Link
Pati, T. Extended Tauberian theorems. (English) Zbl 1067.40003 Dikshit, H. P. (ed.) et al., Analysis and applications. Outcome of the conference dedicated to Professor Tribikram Pati on the occasion of his 70th birthday, Ujjain, India, 1999. New Delhi: Narosa Publishing House; Boca Raton, FL: Chapman and Hall/CRC (ISBN 81-7319-470-X/hbk; 0-8493-1721-5/hbk). 235-250 (2002). Reviewer: Ulrich Stadtmüller (MR 2004e:40001) MSC: 40E05 40G05 40G10 PDFBibTeX XMLCite \textit{T. Pati}, in: Analysis and applications. Outcome of the conference dedicated to Professor Tribikram Pati on the occasion of his 70th birthday, Ujjain, India, 1999. New Delhi: Narosa Publishing House; Boca Raton, FL: Chapman and Hall/CRC. 235--250 (2002; Zbl 1067.40003)
Ganapathy, M. K. (B,\(\alpha\) ,\(\beta\) ) summability of Legendre series. (English) Zbl 0667.40003 Bull. Calcutta Math. Soc. 78, 169-173 (1986). Reviewer: K.Anjaneyulu MSC: 40G10 PDFBibTeX XMLCite \textit{M. K. Ganapathy}, Bull. Calcutta Math. Soc. 78, 169--173 (1986; Zbl 0667.40003)
Ganapathy, M. K. A note on \((B,\alpha\),\(\beta)\) summability. (English) Zbl 0543.42004 Bull. Calcutta Math. Soc. 74, 299-307 (1982). Reviewer: P.Chandra MSC: 42A24 40G10 PDFBibTeX XMLCite \textit{M. K. Ganapathy}, Bull. Calcutta Math. Soc. 74, 299--307 (1982; Zbl 0543.42004)
Costin, O.; Tanveer, S. Short time existence and Borel summability in the Navier-Stokes equation in \(\mathbb R^3\). (English) Zbl 1421.76053 Commun. Partial Differ. Equations 34, No. 8, 785-817 (2009). MSC: 76D03 76D05 35Q30 40G10 PDFBibTeX XMLCite \textit{O. Costin} and \textit{S. Tanveer}, Commun. Partial Differ. Equations 34, No. 8, 785--817 (2009; Zbl 1421.76053) Full Text: DOI
Walk, Harro Strong laws of large numbers by elementary Tauberian arguments. (English) Zbl 1087.60031 Monatsh. Math. 144, No. 4, 329-346 (2005). Reviewer: V. Thangaraj MSC: 60F15 PDFBibTeX XMLCite \textit{H. Walk}, Monatsh. Math. 144, No. 4, 329--346 (2005; Zbl 1087.60031) Full Text: DOI
Das, Gokulananda A Tauberian theorem for absolute quasi-Nörlund means. (English) Zbl 1178.40005 Analysis, München 29, No. 1, 29-39 (2009). Reviewer: Edward Omey (Brussels) MSC: 40E05 40G05 40G10 40C05 PDFBibTeX XMLCite \textit{G. Das}, Analysis, München 29, No. 1, 29--39 (2009; Zbl 1178.40005) Full Text: DOI
Qureshi, K. On the degree of approximation of functions belonging to the class Lip(\(\alpha\) ,q). (English) Zbl 0557.42002 Tamkang J. Math. 15, 5-11 (1984). Reviewer: Sh.N.Lal MSC: 42A24 PDFBibTeX XMLCite \textit{K. Qureshi}, Tamkang J. Math. 15, 5--11 (1984; Zbl 0557.42002)
Costin, Ovidiu; Garoufalidis, Stavros Resurgence of the Kontsevich-Zagier series. (English. French summary) Zbl 1238.57016 Ann. Inst. Fourier 61, No. 3, 1225-1258 (2011). Reviewer: Daniel Moskovich (Singapore) MSC: 57M27 40D99 PDFBibTeX XMLCite \textit{O. Costin} and \textit{S. Garoufalidis}, Ann. Inst. Fourier 61, No. 3, 1225--1258 (2011; Zbl 1238.57016) Full Text: DOI arXiv EuDML Link
Men’shov, D. E. Properties of subsequences of partial sums of series of functions. (English. Russian original) Zbl 0518.40001 Sov. Math., Dokl. 21, 789-792 (1980); translation from Dokl. Akad. Nauk SSSR 252, 550-552 (1980). MSC: 40D25 40A30 40G05 40G10 42A20 42A24 PDFBibTeX XMLCite \textit{D. E. Men'shov}, Sov. Math., Dokl. 21, 789--792 (1980; Zbl 0518.40001); translation from Dokl. Akad. Nauk SSSR 252, 550--552 (1980)
Jajte, Ryszard Borel methods of summability and ergodic theorems. (English) Zbl 1014.47004 Ann. Pol. Math. 78, No. 2, 175-180 (2002). Reviewer: Victor Sharapov (Volgograd) MSC: 47A35 60F15 PDFBibTeX XMLCite \textit{R. Jajte}, Ann. Pol. Math. 78, No. 2, 175--180 (2002; Zbl 1014.47004) Full Text: DOI
Love, E. R. Abel summability of certain series of Legendre functions. (English) Zbl 0807.42021 Proc. Lond. Math. Soc., III. Ser. 69, No. 3, 629-672 (1994). Reviewer: E.R.Love (Victoria) MSC: 42C15 40E99 40G10 PDFBibTeX XMLCite \textit{E. R. Love}, Proc. Lond. Math. Soc. (3) 69, No. 3, 629--672 (1994; Zbl 0807.42021) Full Text: DOI
Jukes, K. A.; Maddox, I. J. Tauberian conclusions. (English) Zbl 0329.40007 Proc. Am. Math. Soc. 53, 407-411 (1975). MSC: 40E05 40G10 40G99 PDFBibTeX XMLCite \textit{K. A. Jukes} and \textit{I. J. Maddox}, Proc. Am. Math. Soc. 53, 407--411 (1975; Zbl 0329.40007) Full Text: DOI
Grosse-Erdmann, Karl-Goswin On the Borel-Okada theorem and the Hadamard multiplication theorem. (English) Zbl 0794.30004 Complex Variables, Theory Appl. 22, No. 1-2, 101-112 (1993). Reviewer: K.-G.Grosse-Erdmann MSC: 30B40 40C05 PDFBibTeX XMLCite \textit{K.-G. Grosse-Erdmann}, Complex Variables, Theory Appl. 22, No. 1--2, 101--112 (1993; Zbl 0794.30004) Full Text: DOI
Rubel, Lee A. The editor’s corner: Summability theory: A neglected tool of analysis. (English) Zbl 0697.40002 Am. Math. Mon. 96, No. 5, 421-423 (1989). Reviewer: C.M.Joshi MSC: 40A99 40G05 40A05 PDFBibTeX XMLCite \textit{L. A. Rubel}, Am. Math. Mon. 96, No. 5, 421--423 (1989; Zbl 0697.40002) Full Text: DOI
Lionni, Luca; Rivasseau, Vincent Note on the intermediate field representation of \(\phi^{2k}\) theory in zero dimension. (English) Zbl 1395.81147 Math. Phys. Anal. Geom. 21, No. 3, Paper No. 23, 20 p. (2018). MSC: 81T08 PDFBibTeX XMLCite \textit{L. Lionni} and \textit{V. Rivasseau}, Math. Phys. Anal. Geom. 21, No. 3, Paper No. 23, 20 p. (2018; Zbl 1395.81147) Full Text: DOI arXiv
Krishnan, V. K. On the relation of generalized Valiron summability to Cesaro summability. (English) Zbl 0489.40005 Proc. Indian Acad. Sci., Math. Sci. 90, 181-193 (1981). MSC: 40G05 PDFBibTeX XMLCite \textit{V. K. Krishnan}, Proc. Indian Acad. Sci., Math. Sci. 90, 181--193 (1981; Zbl 0489.40005) Full Text: DOI
Rempulska, Lucyna Some properties of summability methods of the Abel type. II. (English) Zbl 0654.40004 Funct. Approx., Comment. Math. 15, 29-41 (1986). Reviewer: F.Barbieri MSC: 40G10 42A24 42C05 PDFBibTeX XMLCite \textit{L. Rempulska}, Funct. Approximatio, Comment. Math. 15, 29--41 (1986; Zbl 0654.40004)
Holland, A. S. B.; Sahney, B. N.; Tzimbalario, J. A criterion for Taylor summability of Fourier series. (English) Zbl 0422.42009 Can. Math. Bull. 22, 345-350 (1979). MSC: 42A24 40G10 PDFBibTeX XMLCite \textit{A. S. B. Holland} et al., Can. Math. Bull. 22, 345--350 (1979; Zbl 0422.42009) Full Text: DOI
Rempulska, Lucyna On the summability of numerical and orthogonal series by the (\(B,n\))- method. (English) Zbl 0746.42019 Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 28, No. 1, 135-142 (1988). MSC: 42C15 40G05 40F05 40G10 PDFBibTeX XMLCite \textit{L. Rempulska}, Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 28, No. 1, 135--142 (1988; Zbl 0746.42019)
Braaksma, Boele L. J. Multisummability of formal power series solutions of nonlinear meromorphic differential equations. (English) Zbl 0759.34003 Ann. Inst. Fourier 42, No. 3, 517-540 (1992). Reviewer: B.L.J.Braaksma (Groningen) MSC: 34M99 34E05 40G10 40G99 PDFBibTeX XMLCite \textit{B. L. J. Braaksma}, Ann. Inst. Fourier 42, No. 3, 517--540 (1992; Zbl 0759.34003) Full Text: DOI Numdam EuDML
Stadtmüller, Ulrich Tauberian constants for power series methods in summability. (English) Zbl 0784.40005 J. Math. Anal. Appl. 177, No. 1, 109-124 (1993). Reviewer: D.C.Russell (Toronto) MSC: 40E20 40G10 PDFBibTeX XMLCite \textit{U. Stadtmüller}, J. Math. Anal. Appl. 177, No. 1, 109--124 (1993; Zbl 0784.40005) Full Text: DOI
Markiewicz, Teresa; Rempulska, Lucyna On the summability methods connected with the Dirichlet problem for an elliptic domain. (English) Zbl 0823.40003 Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 28, No. 2, 277-283 (1989). MSC: 40G10 40C99 PDFBibTeX XMLCite \textit{T. Markiewicz} and \textit{L. Rempulska}, Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 28, No. 2, 277--283 (1989; Zbl 0823.40003)
Lorch, Lee; Tzimbalario, Jean A quasi-equivalence between Borel summability and convergence for Fourier-Laguerre series at the end-point. (English) Zbl 0439.42009 Proc. Edinb. Math. Soc., II. Ser. 22, 217-226 (1979). MSC: 42A24 40G10 42A20 PDFBibTeX XMLCite \textit{L. Lorch} and \textit{J. Tzimbalario}, Proc. Edinb. Math. Soc., II. Ser. 22, 217--226 (1979; Zbl 0439.42009) Full Text: DOI
Jajte, Ryszard On summability methods generated by \(R\)-integrable functions. (English) Zbl 0877.40002 Acta Univ. Lodz., Folia Math. 8, 3-8 (1996). MSC: 40C10 40G05 40G10 PDFBibTeX XMLCite \textit{R. Jajte}, Acta Univ. Lodz., Folia Math. 8, 3--8 (1996; Zbl 0877.40002)
Gaier, D. Complex variable proofs of Tauberian theorems. (English) Zbl 0352.40003 Matscience Report, 56. Madras, India: The Institute of Mathematical Sciences. 78 p. (1967). MSC: 40E05 40-02 40G10 PDFBibTeX XML
Zhang, Changgui On the summability of formal power series solutions of \(q\)-difference equations. I. (Sur la sommabilité des séries entières solutions formelles d’une équation aux \(q\)-différences. I.) (French) Zbl 0913.39002 C. R. Acad. Sci., Paris, Sér. I, Math. 327, No. 4, 349-352 (1998). MSC: 39A10 30B10 40A30 PDFBibTeX XMLCite \textit{C. Zhang}, C. R. Acad. Sci., Paris, Sér. I, Math. 327, No. 4, 349--352 (1998; Zbl 0913.39002) Full Text: DOI
Krishnan, V. K. Gap Tauberian theorem for generalized Borel summability. (English) Zbl 0573.40006 Indian J. Math. 24, 99-112 (1982). Reviewer: D.Leviatan MSC: 40G10 40E05 PDFBibTeX XMLCite \textit{V. K. Krishnan}, Indian J. Math. 24, 99--112 (1982; Zbl 0573.40006)
Chandra, Prem Degree of approximation of functions in the Hölder metric by Borel’s means. (English) Zbl 0753.42002 J. Math. Anal. Appl. 149, No. 1, 236-248 (1990). Reviewer: T.I.Akhobadze (Tbilisi) MSC: 42A10 42A24 41A25 PDFBibTeX XMLCite \textit{P. Chandra}, J. Math. Anal. Appl. 149, No. 1, 236--248 (1990; Zbl 0753.42002) Full Text: DOI
Rempulska, Lucyna On some summability methods of the Abel type. (English) Zbl 0611.40009 Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 26, 117-132 (1986). Reviewer: V.Totik MSC: 40G10 42A24 PDFBibTeX XMLCite \textit{L. Rempulska}, Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 26, 117--132 (1986; Zbl 0611.40009)
Kuttner, Brian; Parameswaran, M. R. A Tauberian theorem for Borel summability. (English) Zbl 0635.40008 Math. Proc. Camb. Philos. Soc. 102, 135-138 (1987). Reviewer: B.Kuttner MSC: 40G05 40E05 40E10 PDFBibTeX XMLCite \textit{B. Kuttner} and \textit{M. R. Parameswaran}, Math. Proc. Camb. Philos. Soc. 102, 135--138 (1987; Zbl 0635.40008) Full Text: DOI
Costin, O.; Dupaigne, L.; Kruskal, M. D. Borel summation of adiabatic invariants. (English) Zbl 1059.34061 Nonlinearity 17, No. 4, 1509-1519 (2004). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M30 40G10 34M25 34M60 PDFBibTeX XMLCite \textit{O. Costin} et al., Nonlinearity 17, No. 4, 1509--1519 (2004; Zbl 1059.34061) Full Text: DOI arXiv
Men’shov, D. E. An interrelation between the convergence of subsequences of partial sums of a numerical series and its summability by Abel’s method. (English. Russian original) Zbl 0383.40006 Sov. Math., Dokl. 18(1977), 887-890 (1978); translation from Dokl. Akad. Nauk SSSR 235, 27-29 (1977). MSC: 40G10 40A05 40C15 PDFBibTeX XMLCite \textit{D. E. Men'shov}, Sov. Math., Dokl. 18, 887--890 (1977; Zbl 0383.40006); translation from Dokl. Akad. Nauk SSSR 235, 27--29 (1977)
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
Totik, V. A general theorem on strong means. (English) Zbl 0431.42003 Stud. Sci. Math. Hung. 14, 227-240 (1979). MSC: 42A24 42A10 40G05 40G10 PDFBibTeX XMLCite \textit{V. Totik}, Stud. Sci. Math. Hung. 14, 227--240 (1979; Zbl 0431.42003)
Guru, Ku. Kavita On \([J,P_ n]\) summability of conjugate series of a Fourier series. (English) Zbl 0855.42004 Acta Cienc. Indica, Math. 20, No. 1, 1-4 (1994). Reviewer: P.Chandra (Ujjain) MSC: 42A24 42A50 40G10 PDFBibTeX XMLCite \textit{Ku. K. Guru}, Acta Cienc. Indica, Math. 20, No. 1, 1--4 (1994; Zbl 0855.42004)
Kostyuchenko, A. G.; Radzievskij, G. V. On the summability by the Abel method of n-component expansions. (Russian) Zbl 0295.40009 Sib. Mat. Zh. 15, 855-870 (1974). MSC: 40G10 40J05 PDFBibTeX XMLCite \textit{A. G. Kostyuchenko} and \textit{G. V. Radzievskij}, Sib. Mat. Zh. 15, 855--870 (1974; Zbl 0295.40009)
Rhoades, B. E. Matrix transformation of identically distributed random variables. (English) Zbl 0935.60016 J. Natl. Acad. Math. India 10(1992-6), 60-69 (1997). Reviewer: A.J.Stam (Winsum) MSC: 60F05 40G05 40G10 PDFBibTeX XMLCite \textit{B. E. Rhoades}, J. Natl. Acad. Math. India 10(1992--6), 60--69 (1997; Zbl 0935.60016)
Rempulska, Lucyna On the relation between the summability methods (C,\(\alpha\) ,\(\beta\) ) and (A,m,n) of double series. (English) Zbl 0665.40004 Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 27, No. 1, 181-189 (1987). Reviewer: D.Leviatan MSC: 40B05 40G05 40G10 PDFBibTeX XMLCite \textit{L. Rempulska}, Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 27, No. 1, 181--189 (1987; Zbl 0665.40004)
Borwein, David; Markovich, Tom A Tauberian theorem concerning Borel-type and Cesàro methods of summability. (English) Zbl 0631.40006 Can. J. Math. 40, No. 1, 228-247 (1988). MSC: 40E05 40G05 40G10 PDFBibTeX XMLCite \textit{D. Borwein} and \textit{T. Markovich}, Can. J. Math. 40, No. 1, 228--247 (1988; Zbl 0631.40006) Full Text: DOI
Malgrange, B.; Ramis, Jean-Pierre Multisummable functions. (Fonctions multisommables.) (French) Zbl 0759.34007 Ann. Inst. Fourier 42, No. 1-2, 353-368 (1992). Reviewer: J.-P.Ramis (Strasbourg) MSC: 34M99 34E05 40G99 40G10 PDFBibTeX XMLCite \textit{B. Malgrange} and \textit{J.-P. Ramis}, Ann. Inst. Fourier 42, No. 1--2, 353--368 (1992; Zbl 0759.34007) Full Text: DOI Numdam EuDML
Stadtmüller, U.; Tali, A. Comparsion of certain summability methods by speeds of convergence. (English) Zbl 1049.40008 Anal. Math. 29, No. 3, 227-242 (2003). Reviewer: Toivo Leiger (Tartu) MSC: 40G05 40D25 40G10 40E05 PDFBibTeX XMLCite \textit{U. Stadtmüller} and \textit{A. Tali}, Anal. Math. 29, No. 3, 227--242 (2003; Zbl 1049.40008) Full Text: DOI
Jajte, Ryszard Individual ergodic theorem for non-contractive normal operators. (English) Zbl 1023.47009 Probab. Math. Stat. 22, No. 1, 85-99 (2002). Reviewer: M.Kutkut (Amman) MSC: 47A35 60F15 PDFBibTeX XMLCite \textit{R. Jajte}, Probab. Math. Stat. 22, No. 1, 85--99 (2002; Zbl 1023.47009)
Mashreghi, Javad; Parisé, Pierre-Olivier; Ransford, Thomas Power-series summability methods in de Branges-Rovnyak spaces. (English) Zbl 1500.40010 Integral Equations Oper. Theory 94, No. 2, Paper No. 20, 17 p. (2022). MSC: 40J05 40C15 40G10 41A10 46E20 30E10 PDFBibTeX XMLCite \textit{J. Mashreghi} et al., Integral Equations Oper. Theory 94, No. 2, Paper No. 20, 17 p. (2022; Zbl 1500.40010) Full Text: DOI arXiv
Natarajan, Pinnangudi Narayanasubramanian A product theorem for the Euler and the Natarajan methods of summability. (English) Zbl 1282.40003 Analysis, München 33, No. 2, 189-196 (2013). Reviewer: Robert E. Zink (Lafayette) MSC: 40C05 40D25 40G10 PDFBibTeX XMLCite \textit{P. N. Natarajan}, Analysis, München 33, No. 2, 189--196 (2013; Zbl 1282.40003) Full Text: DOI
Estrada, Ricardo Abel summability and angular convergence. (English) Zbl 1107.30003 Sci., Ser. A, Math. Sci. (N.S.) 9, 45-51 (2003). Reviewer: Luis Bernal Gonzales (Sevilla) MSC: 30B30 40G10 PDFBibTeX XMLCite \textit{R. Estrada}, Sci., Ser. A, Math. Sci. (N.S.) 9, 45--51 (2003; Zbl 1107.30003)
Chandrasekhara Rao, K.; Singaravel, T. M. On matrices of Mazur type on rate spaces. (English) Zbl 1005.40001 Demonstr. Math. 35, No. 2, 339-346 (2002). MSC: 40C05 40G10 PDFBibTeX XMLCite \textit{K. Chandrasekhara Rao} and \textit{T. M. Singaravel}, Demonstr. Math. 35, No. 2, 339--346 (2002; Zbl 1005.40001)
Yoshino, Masafumi Global Borel summability of some partial differential equations. (English) Zbl 1501.35123 Filipuk, Galina (ed.) et al., Formal and analytic solutions of differential equations. Selected contributions based on the presentations at the conference, virtual, June 29 – July 3, 2020. Singapore: World Scientific. 223-233 (2022). Reviewer: Alberto Lastra Sedano (Burgos) MSC: 35C10 35F20 PDFBibTeX XMLCite \textit{M. Yoshino}, in: Formal and analytic solutions of differential equations. Selected contributions based on the presentations at the conference, virtual, June 29 -- July 3, 2020. Singapore: World Scientific. 223--233 (2022; Zbl 1501.35123) Full Text: DOI
Chandra, Prem; Mohapatra, R. N.; Sahney, B. N. On \((J,p_ n)\) summability of Fourier series. (English) Zbl 0603.42008 Tamkang J. Math. 16, No. 2, 37-41 (1985). Reviewer: P.Chandra MSC: 42A24 40G10 40D05 40G99 PDFBibTeX XMLCite \textit{P. Chandra} et al., Tamkang J. Math. 16, No. 2, 37--41 (1985; Zbl 0603.42008)
Firlej, Barbara; Rempulska, Lucyna On the absolute and strong summability of numerical and orthogonal series by the methods connected with the Dirichlet problem for an elliptic domain. (English) Zbl 0826.40003 Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 28, No. 2, 189-195 (1989). Reviewer: B.Kuttner (MR 90m:40010) MSC: 40G10 40F05 PDFBibTeX XMLCite \textit{B. Firlej} and \textit{L. Rempulska}, Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 28, No. 2, 189--195 (1989; Zbl 0826.40003)
Trigub, R. M. Generalization of the Abel-Poisson method for summations of Fourier trigonometric series. (English. Russian original) Zbl 1314.42005 Math. Notes 96, No. 3, 454-457 (2014); translation from Mat. Zametki 96, No. 3, 473-475 (2014). MSC: 42A24 40G10 PDFBibTeX XMLCite \textit{R. M. Trigub}, Math. Notes 96, No. 3, 454--457 (2014; Zbl 1314.42005); translation from Mat. Zametki 96, No. 3, 473--475 (2014) Full Text: DOI
Eckmann, Jean-Pierre; Wittwer, Peter Computer methods and Borel summability applied to Feigenbaum’s equation. (English) Zbl 0598.58040 Lecture Notes in Physics, 227. Berlin etc.: Springer-Verlag. xiv, 297 p. DM 36.50 (1985). Reviewer: Helmut Weber (Wiesbaden) MSC: 37-02 37-04 40-04 37E20 40G10 30E99 PDFBibTeX XML
Berens, Hubert On the approximation of Fourier series by Abel means. (English) Zbl 0262.42010 J. Approximation Theory 6, 345-353 (1972). MSC: 42A24 41A25 40G10 PDFBibTeX XMLCite \textit{H. Berens}, J. Approx. Theory 6, 345--353 (1972; Zbl 0262.42010) Full Text: DOI