On Ostrowski-Type Inequalities via Strong s-Godunova-Levin Functions

Badreddine Meftah; Assia Azaizia

EN

On Ostrowski-Type Inequalities via Strong s-Godunova-Levin Functions

Abstract

In this paper, we first introduce a new class of convex functions called strong s-Godunova-Levin functions, which encompass the strong Godunova-Levin, s-Godunova-Levin, and Godunova-Levin function classes. By relying on the identity given by Cerone et al. [Ostrowski-type Inequalities for Functions Whose Derivatives Satisfy Certain Convexity Assumptions, Demonstratio Mathematica 37(2) (2004) 299-308] and by some simple technical methods, we derive some new Ostrowski-type inequalities for functions whose derivatives in absolute value at a certain power q ≥ 1 lies in the above-cited new class of functions. Some special cases are discussed. The results obtained can be considered a generalization of certain known results.

Keywords

Ostrowski inequality, power mean inequality, Hölder inequality, strong s-Godunova-Levin functions

References

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Details

Primary Language

English

Subjects

Applied Mathematics

Journal Section

Research Article

Authors

Badreddine Meftah
0000-0002-0156-7864
Algeria

Assia Azaizia This is me
0000-0003-4203-8317
Algeria

Publication Date

March 30, 2021

Submission Date

March 23, 2019

Acceptance Date

March 19, 2021

Published in Issue

Year 2021 Number: 34

IZ

https://izlik.org/JA65FP95BH

APA

Meftah, B., & Azaizia, A. (2021). On Ostrowski-Type Inequalities via Strong s-Godunova-Levin Functions. Journal of New Theory, 34, 1-11. https://izlik.org/JA65FP95BH

AMA

1.Meftah B, Azaizia A. On Ostrowski-Type Inequalities via Strong s-Godunova-Levin Functions. JNT. 2021;(34):1-11. https://izlik.org/JA65FP95BH

Chicago

Meftah, Badreddine, and Assia Azaizia. 2021. “On Ostrowski-Type Inequalities via Strong S-Godunova-Levin Functions”. Journal of New Theory, nos. 34: 1-11. https://izlik.org/JA65FP95BH.

EndNote

Meftah B, Azaizia A (March 1, 2021) On Ostrowski-Type Inequalities via Strong s-Godunova-Levin Functions. Journal of New Theory 34 1–11.

IEEE

[1]B. Meftah and A. Azaizia, “On Ostrowski-Type Inequalities via Strong s-Godunova-Levin Functions”, JNT, no. 34, pp. 1–11, Mar. 2021, [Online]. Available: https://izlik.org/JA65FP95BH

ISNAD

Meftah, Badreddine - Azaizia, Assia. “On Ostrowski-Type Inequalities via Strong S-Godunova-Levin Functions”. Journal of New Theory. 34 (March 1, 2021): 1-11. https://izlik.org/JA65FP95BH.

JAMA

1.Meftah B, Azaizia A. On Ostrowski-Type Inequalities via Strong s-Godunova-Levin Functions. JNT. 2021;:1–11.

MLA

Meftah, Badreddine, and Assia Azaizia. “On Ostrowski-Type Inequalities via Strong S-Godunova-Levin Functions”. Journal of New Theory, no. 34, Mar. 2021, pp. 1-11, https://izlik.org/JA65FP95BH.

Vancouver

1.Badreddine Meftah, Assia Azaizia. On Ostrowski-Type Inequalities via Strong s-Godunova-Levin Functions. JNT [Internet]. 2021 Mar. 1;(34):1-11. Available from: https://izlik.org/JA65FP95BH