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

Yıl 2019, Cilt: 68 Sayı: 2, 1611 - 1620, 01.08.2019

Şebnem Yıldız

https://doi.org/10.31801/cfsuasmas.546583

Öz

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.

Anahtar Kelimeler

Riesz mean absolute summability infinite series

Kaynakça

  • 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.
  • Braha, N. L., Some weighted equi-statistical convergence and Korovkin type- theorem, Res. Math., 70(34) (2014), 433-446.
  • Bor, H., On two summability methods, Math. Proc. Camb. Philos. Soc., 97 (1985), 147-149.
  • Bor, H., A note on |N,p_{n}|_{k} summability factors of infinite series, Indian J. Pure Appl. Math., 18 (1987), 330-336.
  • Bor, H., On local property of |N,p_{n};δ|_{k} summability of factored Fourier series, J. Math. Anal. Appl., 179 (1993), 646-649.
  • Bor, H., A study on absolute Riesz summability factors, Rend. Circ. Mat. Palermo (2), 56 (2007) 358-368.
  • Bor, H., Factors for absolute weighted arithmetic mean summability of infinite series, Int. J. Anal. and Appl., 14 (2) (2017), 175-179.
  • Bor, H., On some new results for non-decreasing sequences, Tbilisi Math. J., 10 (2), (2017), 57-64.
  • Cesàro, E., Sur la multension of absolute summability and some theorems of Littlewood and Paley, Proc. Lond. Math. Soc., 7 (1957), 113-141.
  • Flett, T. M., Some more theorems concerning the absolute summability of Fourier series and power series, Proc.London Math. Soc., 8 (1958), 357-387.
  • Hardy, G. H., Divergeiplication des séries, Bull. Sci. Math., 14 (1890), 114-120.
  • Flett, T. M., On an extnt Series, Clarendon Press, Oxford 1949.
  • Mishra, K. N., On the absolute Nörlund summability factors of infinite series, Indian J. Pure Appl. Math., 14 (1983), 40-43.
  • Mishra, K. N. and Srivastava, R. S. L., On the absolute Cesaro summability factors of infinite series, Portugal Math., 42 (1983/84), 53-61.
  • Mishra, K. N. and Srivastava, R. S. L., On |N,p_{n}| summability factors of infinite series, Indian J. Pure Appl. Math.,15 (1984), 651-656.
  • Özarslan, H. S. and Öğdük, H. N., Generalizations of two theorems on absolute summability methods, Aust. J. Math. Anal. Appl. 13 (2004), 7pp.
  • Powell, R. E. and Shah, S. M., Summability theory and its applications, Van Nostrand, London, 1972.
  • Sezer, S. A. and Canak, I., Tauberian remainder theorems for the weighted mean method of summability, Math. Model. Anal., 19(2) (2014), 275-280.
  • Sezer, S. A. and Canak, I., On a Tauberian theorem for the weighted mean method of summability, Kuwait J. Sci., 42(3) (2015), 1-9.
  • Sulaiman, W. T, Inclusion theorems for absolute matrix summability methods of an infinite series, Indian J. Pure Appl. Math. 34 (11) (2003), 1547-1557.
  • Yildiz, Ş. A matrix application on absolute weighted arithmetic mean summability factors of infinite series, Tibilisi Math.J., (11) 2 (2018), 59-65.
  • Yildiz, Ş. A new result on weighted arithmetic mean summability of almost increasing sequences, 2nd International Conference of Mathematical Sciences (ICMS 2018), Maltepe University,31 July 2018-6 August 2018.

Yıl 2019, Cilt: 68 Sayı: 2, 1611 - 1620, 01.08.2019

Şebnem Yıldız

https://doi.org/10.31801/cfsuasmas.546583

Öz

Kaynakça

  • 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.
  • Braha, N. L., Some weighted equi-statistical convergence and Korovkin type- theorem, Res. Math., 70(34) (2014), 433-446.
  • Bor, H., On two summability methods, Math. Proc. Camb. Philos. Soc., 97 (1985), 147-149.
  • Bor, H., A note on |N,p_{n}|_{k} summability factors of infinite series, Indian J. Pure Appl. Math., 18 (1987), 330-336.
  • Bor, H., On local property of |N,p_{n};δ|_{k} summability of factored Fourier series, J. Math. Anal. Appl., 179 (1993), 646-649.
  • Bor, H., A study on absolute Riesz summability factors, Rend. Circ. Mat. Palermo (2), 56 (2007) 358-368.
  • Bor, H., Factors for absolute weighted arithmetic mean summability of infinite series, Int. J. Anal. and Appl., 14 (2) (2017), 175-179.
  • Bor, H., On some new results for non-decreasing sequences, Tbilisi Math. J., 10 (2), (2017), 57-64.
  • Cesàro, E., Sur la multension of absolute summability and some theorems of Littlewood and Paley, Proc. Lond. Math. Soc., 7 (1957), 113-141.
  • Flett, T. M., Some more theorems concerning the absolute summability of Fourier series and power series, Proc.London Math. Soc., 8 (1958), 357-387.
  • Hardy, G. H., Divergeiplication des séries, Bull. Sci. Math., 14 (1890), 114-120.
  • Flett, T. M., On an extnt Series, Clarendon Press, Oxford 1949.
  • Mishra, K. N., On the absolute Nörlund summability factors of infinite series, Indian J. Pure Appl. Math., 14 (1983), 40-43.
  • Mishra, K. N. and Srivastava, R. S. L., On the absolute Cesaro summability factors of infinite series, Portugal Math., 42 (1983/84), 53-61.
  • Mishra, K. N. and Srivastava, R. S. L., On |N,p_{n}| summability factors of infinite series, Indian J. Pure Appl. Math.,15 (1984), 651-656.
  • Özarslan, H. S. and Öğdük, H. N., Generalizations of two theorems on absolute summability methods, Aust. J. Math. Anal. Appl. 13 (2004), 7pp.
  • Powell, R. E. and Shah, S. M., Summability theory and its applications, Van Nostrand, London, 1972.
  • Sezer, S. A. and Canak, I., Tauberian remainder theorems for the weighted mean method of summability, Math. Model. Anal., 19(2) (2014), 275-280.
  • Sezer, S. A. and Canak, I., On a Tauberian theorem for the weighted mean method of summability, Kuwait J. Sci., 42(3) (2015), 1-9.
  • Sulaiman, W. T, Inclusion theorems for absolute matrix summability methods of an infinite series, Indian J. Pure Appl. Math. 34 (11) (2003), 1547-1557.
  • Yildiz, Ş. A matrix application on absolute weighted arithmetic mean summability factors of infinite series, Tibilisi Math.J., (11) 2 (2018), 59-65.
  • Yildiz, Ş. A new result on weighted arithmetic mean summability of almost increasing sequences, 2nd International Conference of Mathematical Sciences (ICMS 2018), Maltepe University,31 July 2018-6 August 2018.
Toplam 22 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Makaleler
Yazarlar

Şebnem Yıldız

Yayımlanma Tarihi 1 Ağustos 2019
Gönderilme Tarihi 31 Temmuz 2018
Kabul Tarihi 15 Ocak 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 68 Sayı: 2

Kaynak Göster

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 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. Ağustos 2019;68(2):1611-1620. doi:10.31801/cfsuasmas.546583
Chicago 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, sy. 2 (Ağustos 2019): 1611-20. https://doi.org/10.31801/cfsuasmas.546583.
EndNote Yıldız Ş (01 Ağustos 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 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., c. 68, sy. 2, ss. 1611–1620, 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 (Ağustos 2019), 1611-1620. https://doi.org/10.31801/cfsuasmas.546583.
JAMA 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, c. 68, sy. 2, 2019, ss. 1611-20, doi:10.31801/cfsuasmas.546583.
Vancouver 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):1611-20.

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

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