A new result on the quasi power increasing sequences

Hikmet Seyhan Özarslan

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (2020)

  • Volume: 19, page 95-103
  • ISSN: 2300-133X

Abstract

top
This paper presents a theorem dealing with absolute matrix summability of infinite series. This theorem has been proved taking quasi β-power increasing sequence instead of almost increasing sequence.

How to cite

top

Hikmet Seyhan Özarslan. "A new result on the quasi power increasing sequences." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 19 (2020): 95-103. <http://eudml.org/doc/296819>.

@article{HikmetSeyhanÖzarslan2020,
abstract = {This paper presents a theorem dealing with absolute matrix summability of infinite series. This theorem has been proved taking quasi β-power increasing sequence instead of almost increasing sequence.},
author = {Hikmet Seyhan Özarslan},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
language = {eng},
pages = {95-103},
title = {A new result on the quasi power increasing sequences},
url = {http://eudml.org/doc/296819},
volume = {19},
year = {2020},
}

TY - JOUR
AU - Hikmet Seyhan Özarslan
TI - A new result on the quasi power increasing sequences
JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
PY - 2020
VL - 19
SP - 95
EP - 103
AB - This paper presents a theorem dealing with absolute matrix summability of infinite series. This theorem has been proved taking quasi β-power increasing sequence instead of almost increasing sequence.
LA - eng
UR - http://eudml.org/doc/296819
ER -

References

top
  1. Bari, Nina Karlovna, and Sergey B. Steckin. "Best approximations and differential properties of two conjugate functions." Trudy Moskov. Mat. Obšc. 5 (1956): 483-522. 
  2. Bor, Hüseyin. "On two summability methods." Math. Proc. Cambridge Philos. Soc. 97, no. 1 (1985): 147-149. 
  3. Bor, Hüseyin, and Lokenath Debnath. "Quasi β-power increasing sequences." Int. J. Math. Math. Sci. no. 41-44 (2004): 2371-2376. 
  4. Flett, Thomas Muirhead. "On an extension of absolute summability and some theorems of Littlewood and Paley." Proc. London Math. Soc. (3) 7 (1957): 113-141. 
  5. Hardy, Godfrey Harold. Divergent Series. Oxford: Oxford University Press, 1949. 
  6. Leindler, László. "A new application of quasi power increasing sequences." Publ. Math. Debrecen 58, no. 4 (2001): 791-796. 
  7. Maddox, Ivor John. Introductory Mathematical Analysis. Bristol: Adam Hilger Ltd., 1977. 
  8. Mazhar, Syed Mohammad. "On |C, 1|k summability factors of infinite series." Indian J. Math. 14 (1972): 45-48. 
  9. Mazhar, Syed Mohammad. "Absolute summability factors of infinite series." Kyungpook Math. J. 39, no. 1 (1999): 67-73. 
  10. Ögdük, H. Nedret. "A summability factor theorem by using an almost increasing sequence." J. Comput. Anal. Appl. 11, no. 1 (2009): 45-53. 
  11. Özarslan, Hikmet Seyhan, and Enes Yavuz. "A new note on absolute matrix summability." J. Inequal. Appl. (2013): Article 474. 
  12. Özarslan, Hikmet Seyhan, and Aysegül Keten. "On a new application of almost increasing sequences." J. Inequal. Appl. (2013): Article 13. 
  13. Özarslan, Hikmet Seyhan, and Enes Yavuz. "New theorems for absolute matrix summability factors." Gen. Math. Notes 23, no. 2 (2014): 63-70. 
  14. Özarslan, Hikmet Seyhan. "On generalized absolute matrix summability methods." Int. J. Anal. Appl. 12, no. 1 (2016): 66-70. 
  15. Özarslan, Hikmet Seyhan, and Ahmet Karakas. "A new result on the almost increasing sequences." J. Comput.Anal.Appl. 22, no. 6 (2017): 989-998. 
  16. Özarslan, Hikmet Seyhan, and Bagdagül Kartal. "A generalization of a theorem of Bor." J. Inequal. Appl. (2017): Article 179. 
  17. Özarslan, Hikmet Seyhan. "A new application of quasi power increasing sequences." AIP Conference Proceedings 1926, (2018): 1-6. 
  18. Özarslan, Hikmet Seyhan. "A new factor theorem for absolute matrix summability." Quaest. Math. 42, no. 6 (2019): 803-809. 
  19. Özarslan, Hikmet Seyhan. "Generalized quasi power increasing sequences." Appl. Math. E-Notes 19 (2019): 38-45. 
  20. Özarslan, Hikmet Seyhan. "An application of absolute matrix summability using almost increasing and δ-quasi-monotone sequences." Kyungpook Math. J. 59, no. 2 (2019): 233-240. 
  21. Sulaiman, Waadallah Tawfeeq. "Inclusion theorems for absolute matrix summability methods of an infinite series. IV." Indian J. Pure Appl. Math. 34, no. 11 (2003): 1547-1557. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.