Post-Quantum Chebyshev-Type Integral Inequalities for Synchronous Functions

Author:

Arunrat NuttapongORCID,Nakprasit Keaitsuda ManeerukORCID,Nonlaopon KamsingORCID,Agarwal PraveenORCID,Ntouyas Sotiris K.ORCID

Abstract

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.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference39 articles.

1. Sur les expressions approximati ves des integrales definies par les autres prises entre lesmemes limites;Chebyshev;Proc. Math. Soc. Kharkov.,1882

2. Applied Inequalities;Kuang,2004

3. Analytic Inequalities;Mitrinović,1970

4. Chebyshev type inequalities for the Saigo fractional integrals and their q-analogues

5. New inequalities in fractional integrals;Dahmani;Int. J. Nonlinear Sci.,2010

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