Some Generalized Fractional Integral Inequalities With Nonsingular Function as a Kernel
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Date
2021
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Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
No
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Top 10%
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Abstract
Integral inequalities play a key role in applied and theoretical mathematics. The purpose of inequalities is to develop mathematical techniques in analysis. The goal of this paper is to develop a fractional integral operator having a non-singular function (generalized multi-index Bessel function) as a kernel and then to obtain some significant inequalities like Hermit Hadamard Mercer inequality, exponentially (s - m)-preinvex inequalities, Polya-Szego and Chebyshev type integral inequalities with the newly developed fractional operator. These results describe in general behave and provide the extension of fractional operator theory (FOT) in inequalities.
Description
Rahman, Gauhar/0000-0002-2728-7537
ORCID
Keywords
Convexity, Generalized Multi-Index Bessel Function, Inequalities And Integral Operators, Fractional Derivatives And Integrals, Geometry, Operator (biology), Matrix Inequalities and Geometric Means, Invertible matrix, Mathematical analysis, Biochemistry, Gene, Operator Inequalities, inequalities and integral operators, Convergence Analysis of Iterative Methods for Nonlinear Equations, Fractional Integrals, Convex function, QA1-939, FOS: Mathematics, generalized multi-index bessel function, fractional derivatives and integrals, Bessel function, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, convexity, Extension (predicate logic), Applied Mathematics, FOS: Clinical medicine, Matrix Inequalities, Fractional calculus, Pure mathematics, Applied mathematics, Computer science, Programming language, Regular polygon, Chemistry, Inequality, Modeling and Simulation, Dentistry, Physical Sciences, Kernel (algebra), Repressor, Medicine, Transcription factor, Calculus (dental), Mathematics, Convexity of real functions in one variable, generalizations, Fractional derivatives and integrals, Integral operators, Inequalities involving derivatives and differential and integral operators, generalized multi-index Bessel function, Inequalities for sums, series and integrals
Turkish CoHE Thesis Center URL
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Mubeen, Shahid...et al. (2021). "Some generalized fractional integral inequalities with nonsingular function as a kernel", AIMS MATHEMATICS, Vol. 6, No. 4, pp. 3352-337.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
7
Source
AIMS Mathematics
Volume
6
Issue
4
Start Page
3352
End Page
3377
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CrossRef : 2
Scopus : 8
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Mendeley Readers : 3
SCOPUS™ Citations
8
checked on Feb 03, 2026
Web of Science™ Citations
5
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1
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