Geodesic
A new application of $(\phi,\delta)$-monotone sequences
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2022), pp. 38-43.

Voir la notice de l'article provenant de la source Math-Net.Ru

In the present paper, $(\phi,\delta)$-monotone sequences are studied. A theorem on absolute Riesz summability of an infinite series is proved under some suitable conditions by using a $(\phi,\delta)$-monotone sequence.
Keywords: absolute summability, infinite series, Riesz mean, summability factors, $(\phi,\delta)$-monotone sequences. 
@article{IVM_2022_3_a4,
     author = {H. S. \"Ozarslan and M. \"O. \c{S}akar},
     title = {A new application of $(\phi,\delta)$-monotone sequences},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {38--43},
     publisher = {mathdoc},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2022_3_a4/}
}
TY  - JOUR
AU  - H. S. Özarslan
AU  - M. Ö. Şakar
TI  - A new application of $(\phi,\delta)$-monotone sequences
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2022
SP  - 38
EP  - 43
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2022_3_a4/
LA  - ru
ID  - IVM_2022_3_a4
ER  - 
%0 Journal Article
%A H. S. Özarslan
%A M. Ö. Şakar
%T A new application of $(\phi,\delta)$-monotone sequences
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2022
%P 38-43
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2022_3_a4/
%G ru
%F IVM_2022_3_a4
H. S. Özarslan; M. Ö. Şakar. A new application of $(\phi,\delta)$-monotone sequences. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2022), pp. 38-43. http://geodesic.mathdoc.fr/item/IVM_2022_3_a4/

[1] Robertson M. M., “A generalization of quasi-monotone sequences”, Proc. Edinburgh Math. Soc. (2), 16 (1968/69), 37–41 | DOI | MR | Zbl

[2] Hardy G. H., Divergent Series, Oxford Univ. Press, Oxford, 1949 | MR | Zbl

[3] Bor H., “On two summability methods”, Math. Proc. Cambridge Philos. Soc., 97:1 (1985), 147–149 | DOI | MR | Zbl

[4] Flett T. M., “On an extension of absolute summability and some theorems of Littlewood and Paley”, Proc. Lond. Math. Soc. (3), 7 (1957), 113–141 | DOI | MR | Zbl

[5] Mazhar S. M., “On $| C,1|_{k}$ summability factors of infinite series”, Acta Sci. Math. (Szeged), 27 (1966), 67–70 | MR | Zbl

[6] Bor H., “On the absolute Cesàro summability factors”, Anal. Numér. Théor. Approx., 20:1–2 (1991), 11–14 | MR | Zbl

[7] Bor H., “A note on $|\bar{N},p_{n}|_{k}$ summability factors of infinite series”, Indian J. Pure Appl. Math., 18:4 (1987), 330–336 | MR | Zbl

[8] Bor H., “Absolute summability factors for infinite series”, Indian J. Pure Appl. Math., 19:7 (1988), 664–671 | MR | Zbl

[9] Bor H., “On quasi-monotone sequences and their applications”, Bull. Austral. Math. Soc., 43:2 (1991), 187–192 | DOI | MR | Zbl

[10] Bor H., “On absolute summability factors for $|\bar N,p_n|_k$ summability”, Comment. Math. Univ. Carolinae, 32:3 (1991), 435–439 | MR | Zbl

[11] Bor H., “On absolute summability factors”, Proc. Amer. Math. Soc., 118:1 (1993), 71–75 | DOI | MR | Zbl

[12] Bor H., “A note on absolute summability factors”, Internat. J. Math. Math. Sci., 17:3 (1994), 479–482 | DOI | MR | Zbl

[13] Bor H., Özarslan H. S., “On the quasi power increasing sequences”, J. Math. Anal. Appl., 276:2 (2002), 924–929 | DOI | MR | Zbl

[14] Mazhar S. M., “A note on absolute summability factors”, Bull. Inst. Math. Acad. Sinica, 25:3 (1997), 233–242 | MR | Zbl

[15] Mazhar S. M., “Absolute summability factors of infinite series”, Kyungpook Math. J., 39:1 (1999), 67–73 | MR | Zbl

[16] Seyhan H., “Factors for absolute summability methods”, PanAmer. Math. J., 9:4 (1999), 23–27 | MR | Zbl