Research Article

A new result for weighted arithmetic mean summability factors of infinite series involving almost increasing sequences

Volume: 68 Number: 2 August 1, 2019
EN

A new result for weighted arithmetic mean summability factors of infinite series involving almost increasing sequences

Abstract

In this paper, a known theorem dealing with weighted mean summability methods of non-decreasing sequences has been generalized for |A,p_{n};δ|_{k} summability factors of almost increasing sequences. Also, some new results have been obtained concerning |N,p_{n}|_{k}, |N,p_{n};δ|_{k} and |C,1;δ|_{k} summability factors.

Keywords

References

  1. Bari, N.K. and Stechkin, S.B., Best approximation and differential properties of two conjugate functions, Tr. Mosk. Mat. Obshch., vol. 5 (1956), 483-522.
  2. Braha, N. L., Some weighted equi-statistical convergence and Korovkin type- theorem, Res. Math., 70(34) (2014), 433-446.
  3. Bor, H., On two summability methods, Math. Proc. Camb. Philos. Soc., 97 (1985), 147-149.
  4. Bor, H., A note on |N,p_{n}|_{k} summability factors of infinite series, Indian J. Pure Appl. Math., 18 (1987), 330-336.
  5. Bor, H., On local property of |N,p_{n};δ|_{k} summability of factored Fourier series, J. Math. Anal. Appl., 179 (1993), 646-649.
  6. Bor, H., A study on absolute Riesz summability factors, Rend. Circ. Mat. Palermo (2), 56 (2007) 358-368.
  7. Bor, H., Factors for absolute weighted arithmetic mean summability of infinite series, Int. J. Anal. and Appl., 14 (2) (2017), 175-179.
  8. Bor, H., On some new results for non-decreasing sequences, Tbilisi Math. J., 10 (2), (2017), 57-64.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

August 1, 2019

Submission Date

July 31, 2018

Acceptance Date

January 15, 2019

Published in Issue

Year 2019 Volume: 68 Number: 2

APA
Yıldız, Ş. (2019). A new result for weighted arithmetic mean summability factors of infinite series involving almost increasing sequences. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(2), 1611-1620. https://doi.org/10.31801/cfsuasmas.546583
AMA
1.Yıldız Ş. A new result for weighted arithmetic mean summability factors of infinite series involving almost increasing sequences. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(2):1611-1620. doi:10.31801/cfsuasmas.546583
Chicago
Yıldız, Şebnem. 2019. “A New Result for Weighted Arithmetic Mean Summability Factors of Infinite Series Involving Almost Increasing Sequences”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2): 1611-20. https://doi.org/10.31801/cfsuasmas.546583.
EndNote
Yıldız Ş (August 1, 2019) A new result for weighted arithmetic mean summability factors of infinite series involving almost increasing sequences. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 2 1611–1620.
IEEE
[1]Ş. Yıldız, “A new result for weighted arithmetic mean summability factors of infinite series involving almost increasing sequences”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 2, pp. 1611–1620, Aug. 2019, doi: 10.31801/cfsuasmas.546583.
ISNAD
Yıldız, Şebnem. “A New Result for Weighted Arithmetic Mean Summability Factors of Infinite Series Involving Almost Increasing Sequences”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/2 (August 1, 2019): 1611-1620. https://doi.org/10.31801/cfsuasmas.546583.
JAMA
1.Yıldız Ş. A new result for weighted arithmetic mean summability factors of infinite series involving almost increasing sequences. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:1611–1620.
MLA
Yıldız, Şebnem. “A New Result for Weighted Arithmetic Mean Summability Factors of Infinite Series Involving Almost Increasing Sequences”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 2, Aug. 2019, pp. 1611-20, doi:10.31801/cfsuasmas.546583.
Vancouver
1.Şebnem Yıldız. A new result for weighted arithmetic mean summability factors of infinite series involving almost increasing sequences. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Aug. 1;68(2):1611-20. doi:10.31801/cfsuasmas.546583

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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