Certain Inequalities Involving the Fractional Q-Integral Operators
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Date
2014
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Ltd
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
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
ORCID
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

OpenCitations Citation Count
9
Source
Abstract and Applied Analysis
Volume
2014
Issue
Start Page
1
End Page
10
PlumX Metrics
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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