International Journal of Nonlinear Analysis and Applications

Semi P-function and some new related inequalities

Articles in Press

Document Type : Research Paper

Authors

1 Bayburt University, Faculty of Applied Sciences, Department of Customs Management, Baberti Campus, 69000, Bayburt, TÜRKİYE

2 Department of Mathematics, Sciences and Arts Faculty, Giresun University, 28100, Giresun, TÜRKİYE

3 Bayburt University, Faculty of Education, Department of Primary Education, Campus Baberti, 69000-Bayburt, Turkey

10.22075/ijnaa.2023.30726.4474

Abstract

In this manuscript, we introduce and study the concept of semi P-functions and their some algebraic properties. Also, we compare the results obtained with both Hölder, Hölder-İşcan inequalities and power-mean, improved-power mean integral inequalities and show that the result obtained with Hölder-İşcan and improved power-mean inequalities give a better approach than the others. Some applications to special means of real numbers are also given.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 01 March 2025
  • Receive Date: 23 May 2023
  • Revise Date: 22 September 2023
  • Accept Date: 20 October 2023