Some different type parameterized inequalities via generalized integral operators and their applications. (English) Zbl 1473.26023
The identity for a generalized integral operator with parameters via differentiable functions is studied. The trapezium and Ostrowski-type generalized integral inequalities for preinvex functions is established. As special cases, some fractional integral inequalities are presented. Some applications to special means and new error estimates for the trapezium and midpoint formula are given.
Reviewer: Snezhana Hristova (Plovdiv)
MSC:
| 26D15 | Inequalities for sums, series and integrals |
| 26A33 | Fractional derivatives and integrals |
| 26A51 | Convexity of real functions in one variable, generalizations |
| 26D10 | Inequalities involving derivatives and differential and integral operators |
Keywords:
Hermite-Hadamard inequality; Ostrowski inequality; preinvexity; general fractional integralsReferences:
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