Some integral inequalities in the framework of generalized \(k\)-proportional fractional integral operators with general kernel. (English) Zbl 07850773
Summary: In this article, using the concept proposed reciently by the author, of a Generalized k-Proportional Fractional Integral Operators with General Kernel, new integral inequalities are obtained for convex functions. It is shown that several known results are particular cases of the proposed inequalities and in the end new directions of work are provided.
MSC:
| 26A33 | Fractional derivatives and integrals |
| 26A51 | Convexity of real functions in one variable, generalizations |
| 26D15 | Inequalities for sums, series and integrals |
Keywords:
generalized k-proportional fractional integral operators with general kernel; fractional derivatives and integrals; integral inequalitiesReferences:
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