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Your search keyword '"generalized multi-index bessel function"' showing total 2 results
Start Over Descriptor "generalized multi-index bessel function" Topic function (mathematics)
2 results on '"generalized multi-index bessel function"'

1. Some generalized fractional integral inequalities with nonsingular function as a kernel

Author

Shahid Mubeen, Iqra Nayab, Dumitru Baleanu, Rana Safdar Ali, Kottakkaran Sooppy Nisar, and Gauhar Rahman

Subjects
convexity, General Mathematics, lcsh:Mathematics, Function (mathematics), Type (model theory), lcsh:QA1-939, Convexity, law.invention, inequalities and integral operators, symbols.namesake, Invertible matrix, Operator (computer programming), law, Hadamard transform, Kernel (statistics), symbols, Applied mathematics, generalized multi-index bessel function, fractional derivatives and integrals, Bessel function, Mathematics
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.

Published
2021

2. Estimation of generalized fractional integral operators with nonsingular function as a kernel

Author

Kottakkaran Sooppy Nisar, Shahid Mubeen, Gauhar Rahman, Emad E. Mahmoud, Rana Safdar Ali, Abdel-Haleem Abdel-Aty, and Iqra Nayab

Subjects
lcsh:Mathematics, General Mathematics, Function (mathematics), lcsh:QA1-939, Fractional calculus, law.invention, beta function, Algebra, symbols.namesake, Invertible matrix, fractional operators, law, Kernel (statistics), Key (cryptography), symbols, generalized multi-index bessel function, Beta function, wright's function, Bessel function, Mathematics
Abstract

Bessel function has a significant role in fractional calculus having immense applications in physical and theoretical approach. Present work aims to introduce fractional integral operators in which generalized multi-index Bessel function as a kernel, and develop some important special cases which are connected with fractional operators in fractional calculus. Here, we construct important links to familiar findings from some individual occurrence with our key outcomes.

Published
2021

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