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Volumn 58, Issue 2, 2009, Pages 108-121

On the Pringsheim convergence of double series

Author keywords

Boundedly convergent; Cauchy product; Convergence test; Double series; Matrix transformation; Pringsheim convergence; Regularly convergent; Summability theory

Indexed keywords


EID: 67650899720     PISSN: 17366046     EISSN: 17367530     Source Type: Journal    
DOI: 10.3176/proc.2009.2.03     Document Type: Article
Times cited : (25)

References (12)
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    • Derivation of tests for the convergence of double numerical series
    • in Russian
    • Baron, S. B. Derivation of tests for the convergence of double numerical series. Tartu Riikl. Ülik. Toimetised, 1958, 55, 9-19 (in Russian).
    • (1958) Tartu Riikl. Ülik. Toimetised , vol.55 , pp. 9-19
    • Baron, S.B.1
  • 2
    • 34447592004 scopus 로고
    • Über unendliche Doppelreihen und unendliche Doppelproducte.
    • Biermann, O. Über unendliche Doppelreihen und unendliche Doppelproducte. Monats. Math. Phys., 1897, 8, 115-137.
    • (1897) Monats. Math. Phys , vol.8 , pp. 115-137
    • Biermann, O.1
  • 4
    • 0003831415 scopus 로고
    • 3rd edn. McGraw-Hill, New York
    • Buck, R. C. Advanced Calculus, 3rd edn. McGraw-Hill, New York, 1978.
    • (1978) Advanced Calculus
    • Buck, R.C.1
  • 5
    • 67650906422 scopus 로고
    • Sulla moltiplicazione delle serie doppie.
    • Cesari, L. Sulla moltiplicazione delle serie doppie. Ann. Scuola Norm. Sup. Pisa, 1947, 12, 189-204.
    • (1947) Ann. Scuola Norm. Sup. Pisa , vol.12 , pp. 189-204
    • Cesari, L.1
  • 7
    • 84966247564 scopus 로고
    • On transformations of double series
    • Hamilton, H. J. On transformations of double series. Bull. Amer. Math. Soc., 1936, 42, 275-283.
    • (1936) Bull. Amer. Math. Soc , vol.42 , pp. 275-283
    • Hamilton, H.J.1
  • 8
    • 84949411956 scopus 로고
    • Transformations of multiple sequences
    • Hamilton, H. J. Transformations of multiple sequences. Duke Math. J., 1936, 2, 29-60.
    • (1936) Duke Math. J , vol.2 , pp. 29-60
    • Hamilton, H.J.1
  • 9
    • 67650864600 scopus 로고
    • Elementare Theorie der unendliche Doppel-reihen
    • Pringsheim, A. Elementare Theorie der unendliche Doppel-reihen. Sitsungsber. Akad. Wiss. München, 1897, 27, 101-153.
    • (1897) Sitsungsber. Akad. Wiss. München , vol.27 , pp. 101-153
    • Pringsheim, A.1
  • 10
    • 67650867634 scopus 로고
    • Note on multiply-infinite series
    • Sheffer, I. M. Note on multiply-infinite series. Bull. Amer. Math. Soc., 1946, 52, 1036-1041.
    • (1946) Bull. Amer. Math. Soc , vol.52 , pp. 1036-1041
    • Sheffer, I.M.1
  • 11
    • 33747006354 scopus 로고
    • 5th edn. Nauka, Moscow, in Russian
    • Vorob'ev, N. N. Theory of Series, 5th edn. Nauka, Moscow, 1986 (in Russian).
    • (1986) Theory of Series
    • Vorob'ev, N.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.