A new application of almost increasing sequences

Ahmet Karakaş

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (2019)

  • Volume: 18, page 59-65
  • ISSN: 2300-133X

Abstract

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In this paper, a known result dealing with |N, pn|k summability of infinite series has been generalized to the φ-|N, pn;δ|k infinite series by using an almost increasing sequence.

How to cite

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Ahmet Karakaş. "A new application of almost increasing sequences." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 18 (2019): 59-65. <http://eudml.org/doc/296824>.

@article{AhmetKarakaş2019,
abstract = {In this paper, a known result dealing with |N, pn|k summability of infinite series has been generalized to the φ-|N, pn;δ|k infinite series by using an almost increasing sequence.},
author = {Ahmet Karakaş},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
keywords = {summability factors; almost increasing sequence; infinite series; Hölder inequality; Minkowski inequality},
language = {eng},
pages = {59-65},
title = {A new application of almost increasing sequences},
url = {http://eudml.org/doc/296824},
volume = {18},
year = {2019},
}

TY - JOUR
AU - Ahmet Karakaş
TI - A new application of almost increasing sequences
JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
PY - 2019
VL - 18
SP - 59
EP - 65
AB - In this paper, a known result dealing with |N, pn|k summability of infinite series has been generalized to the φ-|N, pn;δ|k infinite series by using an almost increasing sequence.
LA - eng
KW - summability factors; almost increasing sequence; infinite series; Hölder inequality; Minkowski inequality
UR - http://eudml.org/doc/296824
ER -

References

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  1. Bari, N.K. and S.B. Steckin. "Best approximations and differential properties of two conjugate functions." Trudy Moskov. Mat. Obšc. 5 (1956): 483-522. 
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  3. Bor, Hüseyin. "On local property of |N, pn|k summability of factored Fourier series." J. Math. Anal. Appl. 179, no. 2 (1993): 646-649. 
  4. Bor, Hüseyin and Hikmet Seyhan. "On almost increasing sequences and its applications." Indian J. Pure Appl. Math. 30, no. 10 (1999): 1041-1046. 
  5. Bor, Hüseyin, and Hikmet S. Özarslan. "On absolute Riesz summability factors." J. Math. Anal. Appl. 246, no. 2 (2000): 657-663. 
  6. Bor, Hüseyin. "On absolute Riesz summability factors." Adv. Stud. Contemp. Math. (Pusan) 3, no. 2 (2001): 23-29. 
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  8. Hardy, Godfrey Harold. Divergent Series. Oxford: Oxford University Press, 1949. 
  9. Karakas, Ahmet. "A note on absolute summability method involving almost increasing and -quasi-monotone sequences." Int. J. Math. Comput. Sci. 13, no. 1 (2018): 73-81. 
  10. Kartal, Bagdagül. "On generalized absolute Riesz summability method." Commun. Math. Appl. 8, no. 3 (2017): 359-364. 
  11. Özarslan, Hikmet S. "On almost increasing sequences and its applications." Int. J. Math. Math. Sci. 25, no. 5 (2001): 293-298. 
  12. Özarslan, Hikmet S. "A note on |N, pn|k summability factors." Indian J. Pure Appl. Math. 33, no. 3 (2002): 361-366. 
  13. Özarslan, Hikmet S. "On |N, pn|k summability factors." Kyungpook Math. J. 43, no. 1 (2003): 107-112. 
  14. Seyhan, Hikmet. "On the local property of φ-|N, pn;δ|k summability of factored Fourier series." Bull. Inst. Math. Acad. Sinica 25, no. 4 (1997): 311-316. 
  15. Seyhan, Hikmet, and Abdulcabbar Sönmez, "On φ-|N, pn;δ|k summability factors." Portugal. Math. 54, no. 4 (1997): 393-398. 
  16. Seyhan, Hikmet. "A note on absolute summability factors." Far East J. Math. Sci. 6, no. 1 (1998): 157-162. 
  17. Seyhan, Hikmet. "On the absolute summability factors of type (A,B)." Tamkang J. Math. 30, no. 1 (1999): 59-62. 

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