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Certain Inequalities Involving the Fractional Q-Integral Operators

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Date

2014

Journal Title

Journal ISSN

Volume Title

Publisher

Hindawi Ltd

Open Access Color

GOLD

Green Open Access

No

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Abstract

We establish some inequalities involving Saigo fractional q-integral operator in the theory of quantum calculus by using the two parameters of deformation, q(1) and q(2), whose special cases are shown to yield corresponding inequalities associated with Riemann-Liouville and Kober fractional q-integral operators, respectively. Furthermore, we also consider their relevance with other related known results.

Description

Agarwal, Praveen/0000-0001-7556-8942

Keywords

Artificial intelligence, Applied Mathematics, Geometric Function Theory and Complex Analysis, Matrix Inequalities and Geometric Means, Computer science, Orthogonal Polynomials, Operator Inequalities, Fractional Integrals, Algorithm, Physical Sciences, QA1-939, FOS: Mathematics, Geometry and Topology, Mathematics, Inequalities involving derivatives and differential and integral operators, Fractional derivatives and integrals, \(q\)-calculus and related topics, Inequalities for sums, series and integrals

Fields of Science

01 natural sciences, 0101 mathematics

Citation

Baleanu, Dimitru; Agarwal, Praveen, "Certain Inequalities Involving the Fractional q-Integral Operators", Abstract and Applied Analysis, (2014).

WoS Q

Scopus Q

Q3
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OpenCitations Citation Count
9

Source

Abstract and Applied Analysis

Volume

2014

Issue

Start Page

1

End Page

10
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Citations

CrossRef : 3

Scopus : 28

Captures

Mendeley Readers : 2

SCOPUS™ Citations

28

checked on Feb 26, 2026

Web of Science™ Citations

18

checked on Feb 26, 2026

Page Views

2

checked on Feb 26, 2026

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5.89022455

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