Refinements of quantum Hermite-Hadamard-type inequalities-Reference-Cited by-同舟云学术

Refinements of quantum Hermite-Hadamard-type inequalities

Published:2021-01-01 Issue:1 Volume:19 Page:724-734
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Budak Hüseyin¹,Khan Sundas²,Ali Muhammad Aamir³,Chu Yu-Ming⁴

Affiliation:

1. Department of Mathematics, Faculty of Science and Arts, Düzce University , Düzce , Turkey

2. Department of Mathematics, GC Women University , Sialkot , Pakistan

3. Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University , Nanjing , 210023 , China

4. Department of Mathematics, Huzhou University , Huzhou 313000 , China

Abstract

Abstract In this paper, we first obtain two new quantum Hermite-Hadamard-type inequalities for newly defined quantum integral. Then we establish several refinements of quantum Hermite-Hadamard inequalities.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2021-0029/pdf

Reference34 articles.

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3. T. Ernst, The History of q-Calculus and New Method, Department of Mathematics, Uppsala University, Sweden, 2000.

4. T. Ernst, A Comprehensive Treatment of q-Calculus, Springer, Basel, 2012.

5. H. Gauchman, Integral inequalities in q-calculus, Comput. Math. Appl. 47 (2004), 281–300.

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