Montgomery identity and Ostrowski-type inequalities via quantum calculus

Thanin Sitthiwirattham; Muhammad Aamir Ali; Huseyin Budak; Mujahid Abbas; Saowaluck Chasreechai

doi:10.1515/math-2021-0088

Montgomery identity and Ostrowski-type inequalities via quantum calculus

Thanin Sitthiwirattham
, Muhammad Aamir Ali
, Huseyin Budak
, Mujahid Abbas
, Saowaluck Chasreechai

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In this paper, we prove a quantum version of Montgomery identity and prove some new Ostrowski-type inequalities for convex functions in the setting of quantum calculus. Moreover, we discuss several special cases of newly established inequalities and obtain different new and existing inequalities in the field of integral inequalities.

Original language	English
Pages (from-to)	1098-1109
Number of pages	12
Journal	Open Mathematics
Volume	19
Issue number	1
DOIs	https://doi.org/10.1515/math-2021-0088
Publication status	Published - 1 Jan 2021
Externally published	Yes

Keywords

Ostrowski inequalities
convex functions
difference operators
integral inequalities
q-integral
quantum calculus

ASJC Scopus subject areas

General Mathematics

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10.1515/math-2021-0088

Cite this

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title = "Montgomery identity and Ostrowski-type inequalities via quantum calculus",

abstract = "In this paper, we prove a quantum version of Montgomery identity and prove some new Ostrowski-type inequalities for convex functions in the setting of quantum calculus. Moreover, we discuss several special cases of newly established inequalities and obtain different new and existing inequalities in the field of integral inequalities.",

keywords = "Ostrowski inequalities, convex functions, difference operators, integral inequalities, q-integral, quantum calculus",

author = "Thanin Sitthiwirattham and Ali, \{Muhammad Aamir\} and Huseyin Budak and Mujahid Abbas and Saowaluck Chasreechai",

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AU - Sitthiwirattham, Thanin

AU - Ali, Muhammad Aamir

AU - Budak, Huseyin

AU - Abbas, Mujahid

AU - Chasreechai, Saowaluck

PY - 2021/1/1

Y1 - 2021/1/1

N2 - In this paper, we prove a quantum version of Montgomery identity and prove some new Ostrowski-type inequalities for convex functions in the setting of quantum calculus. Moreover, we discuss several special cases of newly established inequalities and obtain different new and existing inequalities in the field of integral inequalities.

AB - In this paper, we prove a quantum version of Montgomery identity and prove some new Ostrowski-type inequalities for convex functions in the setting of quantum calculus. Moreover, we discuss several special cases of newly established inequalities and obtain different new and existing inequalities in the field of integral inequalities.

KW - Ostrowski inequalities

KW - convex functions

KW - difference operators

KW - integral inequalities

KW - q-integral

KW - quantum calculus

UR - https://www.scopus.com/pages/publications/85117159569

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DO - 10.1515/math-2021-0088

M3 - Article

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VL - 19

SP - 1098

EP - 1109

JO - Open Mathematics

JF - Open Mathematics

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ER -

Montgomery identity and Ostrowski-type inequalities via quantum calculus

Abstract

Keywords

ASJC Scopus subject areas

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