Post-Quantum Chebyshev-Type Integral Inequalities for Synchronous Functions

In this paper, we apply (p,q)-calculus to establish some new Chebyshev-type integral inequalities for synchronous functions. In particular, we generalize results of quantum Chebyshev-type integral inequalities by using (p,q)-integral. By taking p=1 and q→1, our results reduce to classical results on...

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Bibliographic Details
Published inMathematics (Basel) Vol. 10; no. 3; p. 468
Main Authors Arunrat, Nuttapong, Nakprasit, Keaitsuda Maneeruk, Nonlaopon, Kamsing, Agarwal, Praveen, Ntouyas, Sotiris K.
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.02.2022
Subjects
(p,q)-calculus
(p,q)-derivative
(p,q)-integral
Calculus
Chebyshev approximation
Chebyshev-type inequalities
Convex analysis
Inequalities
Mathematical functions
synchronous (asynchronous) functions
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Summary:In this paper, we apply (p,q)-calculus to establish some new Chebyshev-type integral inequalities for synchronous functions. In particular, we generalize results of quantum Chebyshev-type integral inequalities by using (p,q)-integral. By taking p=1 and q→1, our results reduce to classical results on Chebyshev-type inequalities for synchronous functions. Furthermore, we consider their relevance with other related known results.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10030468