$k$-fractional integral inequalities of Hadamard type for exponentially $(s, m)$-convex functions
Copyright policy )$k$-fractional integral inequalities of Hadamard type for exponentially $(s, m)$-convex functions
The aim of this article is to present fractional versions of the Hadamard type inequalities for exponentially $(s, m)$-convex functions via $k$-analogue of Riemann-Liouville fractional integrals. The results provide generalizations of various known fractional integral inequalities. Some special cases are analyzed in the form of corollaries and remarks.
- China Medical University Taiwan
- Gyeongsang National University Korea (Republic of)
- China Medical University China (People's Republic of)
- COMSATS University Islamabad Pakistan
convex functions, Hadamard product, Hadamard's inequality, Geometry, Convex Functions, Matrix Inequalities and Geometric Means, Mathematical analysis, Convexity of real functions in one variable, generalizations, Fractional Integrals, Hadamard inequality, Convex function, Fractional derivatives and integrals, QA1-939, FOS: Mathematics, Hadamard three-lines theorem, Riemann-Liouville fractional integral operators, Biology, Hadamard transform, Ecology, Applied Mathematics, Pure mathematics, Fractional calculus, Stability of Functional Equations in Mathematical Analysis, hadamard inequality, Regular polygon, Inequality, FOS: Biological sciences, Physical Sciences, Inequalities for sums, series and integrals, Hadamard matrix, Type (biology), Mathematics, riemann-liouville fractional integral operators
convex functions, Hadamard product, Hadamard's inequality, Geometry, Convex Functions, Matrix Inequalities and Geometric Means, Mathematical analysis, Convexity of real functions in one variable, generalizations, Fractional Integrals, Hadamard inequality, Convex function, Fractional derivatives and integrals, QA1-939, FOS: Mathematics, Hadamard three-lines theorem, Riemann-Liouville fractional integral operators, Biology, Hadamard transform, Ecology, Applied Mathematics, Pure mathematics, Fractional calculus, Stability of Functional Equations in Mathematical Analysis, hadamard inequality, Regular polygon, Inequality, FOS: Biological sciences, Physical Sciences, Inequalities for sums, series and integrals, Hadamard matrix, Type (biology), Mathematics, riemann-liouville fractional integral operators
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