Some inequalities for exponentially convex functions on time scales-Reference-Cited by-同舟云学术

Some inequalities for exponentially convex functions on time scales

Published:2021-08-01 Issue:4 Volume:71 Page:925-940
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Georgiev Svetlin G.¹,Darvish Vahid²,Roushan Tahere A.³

Affiliation:

1. Sorbonne University , Paris France

2. Nanjing University of Information Science and Technology Nanjing China

3. University of Mazandaran Babolsar Iran

Abstract

Abstract In this paper, we introduce the notion of exponentially convex functions on time scales and then we establish Hermite-Hadamard type inequalities for this class of functions. As special case, we derive this double inequality in the context of classical notion of exponentially convex functions and convex functions. Moreover, we prove some new integral inequalities for n-times continuously differentiable functions with exponentially convex first Δ-derivative.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2021-0031/pdf

Reference11 articles.

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3. Anderson, D.—Bullock, J.—Erbe, L.—Peterson, A.—Tran, H.-N.: Nabla Dynamic Equations. In: Advances in Dynamic Equations on Time Scales (M. Bohner, A. Peterson, eds.), Chapter 3, Birkhäuser, Boston and Berlin, 2003.

4. Awan, M.—Noor, M.—Noor, K.: Hermite-Hadamard inequalities for exponential convex functions, Appl. Math. Inf. Sci. 12 (2018), 405–409.

5. Barić, J.—Bibi, R.—Bohner, M.—Nosheen, A.—Pecarić, J.: Jensen Inequalities on Time Scales: Theory and Applications, Element, Zagreb, 2005.

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