Post-Quantum Chebyshev-Type Integral Inequalities for Synchronous Functions

Nuttapong Arunrat; Keaitsuda Maneeruk Nakprasit; Kamsing Nonlaopon; Praveen Agarwal; Sotiris K. Ntouyas

doi:10.3390/math10030468

Post-Quantum Chebyshev-Type Integral Inequalities for Synchronous Functions

Nuttapong Arunrat
, Keaitsuda Maneeruk Nakprasit
, Kamsing Nonlaopon
, Praveen Agarwal
, Sotiris K. Ntouyas

Faculty of Science, Khon Kaen University
International College of Engineering
University of Ioannina
Faculty of Sciences, King Abdulaziz University

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

2 Scopus citations

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.

Original language	English
Article number	468
Journal	Mathematics
Volume	10
Issue number	3
DOIs	https://doi.org/10.3390/math10030468
State	Published - 1 Feb 2022
Externally published	Yes

Keywords

(p, q)-calculus
(p, q)-derivative
(p, q)-integral
Chebyshev-type inequalities
Synchronous (asynchronous) functions

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10.3390/math10030468

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title = "Post-Quantum Chebyshev-Type Integral Inequalities for Synchronous Functions",

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.",

keywords = "(p, q)-calculus, (p, q)-derivative, (p, q)-integral, Chebyshev-type inequalities, Synchronous (asynchronous) functions",

author = "Nuttapong Arunrat and Nakprasit, \{Keaitsuda Maneeruk\} and Kamsing Nonlaopon and Praveen Agarwal and Ntouyas, \{Sotiris K.\}",

note = "Publisher Copyright: {\textcopyright} 2022 by the authors. Licensee MDPI, Basel, Switzerland.",

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doi = "10.3390/math10030468",

language = "English",

volume = "10",

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AU - Arunrat, Nuttapong

AU - Nakprasit, Keaitsuda Maneeruk

AU - Nonlaopon, Kamsing

AU - Agarwal, Praveen

AU - Ntouyas, Sotiris K.

PY - 2022/2/1

Y1 - 2022/2/1

N2 - 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.

AB - 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.

KW - (p, q)-calculus

KW - (p, q)-derivative

KW - (p, q)-integral

KW - Chebyshev-type inequalities

KW - Synchronous (asynchronous) functions

UR - https://www.scopus.com/pages/publications/85124294940

U2 - 10.3390/math10030468

DO - 10.3390/math10030468

M3 - Article

AN - SCOPUS:85124294940

SN - 2227-7390

VL - 10

JO - Mathematics

JF - Mathematics

IS - 3

M1 - 468

ER -

Post-Quantum Chebyshev-Type Integral Inequalities for Synchronous Functions

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Keywords

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