Some new Opial type dynamic inequalities via convex functions and applications

S. H. Saker; J. Alzabut; A. G. Sayed; D. O’Regan

doi:10.1186/s13662-021-03461-2

Some new Opial type dynamic inequalities via convex functions and applications

S. H. Saker
, J. Alzabut
, A. G. Sayed
, D. O’Regan

Mathematics

Faculty of Science
Prince Sultan University
OSTİM Technical University
Al-Azhar University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

2 Citations (Scopus)

Abstract

In this paper, we prove some new Opial-type dynamic inequalities on time scales. Our results are obtained in frame of convexity property and by using the chain rule and Jensen and Hölder inequalities. For illustration purpose, we obtain some particular Opial-type inequalities reported in the literature.

Original language	English
Article number	305
Journal	Advances in Difference Equations
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1186/s13662-021-03461-2
Publication status	Published - Dec 2021

Keywords

Hölder’s inequality
Jensen’s inequality
Opial’s inequality
Time scales

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10.1186/s13662-021-03461-2

Cite this

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title = "Some new Opial type dynamic inequalities via convex functions and applications",

abstract = "In this paper, we prove some new Opial-type dynamic inequalities on time scales. Our results are obtained in frame of convexity property and by using the chain rule and Jensen and H{\"o}lder inequalities. For illustration purpose, we obtain some particular Opial-type inequalities reported in the literature.",

keywords = "H{\"o}lder{\textquoteright}s inequality, Jensen{\textquoteright}s inequality, Opial{\textquoteright}s inequality, Time scales",

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AU - Saker, S. H.

AU - Alzabut, J.

AU - Sayed, A. G.

AU - O’Regan, D.

PY - 2021/12

Y1 - 2021/12

N2 - In this paper, we prove some new Opial-type dynamic inequalities on time scales. Our results are obtained in frame of convexity property and by using the chain rule and Jensen and Hölder inequalities. For illustration purpose, we obtain some particular Opial-type inequalities reported in the literature.

AB - In this paper, we prove some new Opial-type dynamic inequalities on time scales. Our results are obtained in frame of convexity property and by using the chain rule and Jensen and Hölder inequalities. For illustration purpose, we obtain some particular Opial-type inequalities reported in the literature.

KW - Hölder’s inequality

KW - Jensen’s inequality

KW - Opial’s inequality

KW - Time scales

UR - https://www.scopus.com/pages/publications/85108792952

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DO - 10.1186/s13662-021-03461-2

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SN - 1687-1839

VL - 2021

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

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ER -

Some new Opial type dynamic inequalities via convex functions and applications

Abstract

Keywords

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