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|Title:||ON GENERALIZATIONS RELATED TO THE LEFT SIDE OF FEJER'S INEQUALITY VIA FRACTIONAL INTEGRAL OPERATOR|
Hermite-Hadamard-Fejer inequality; convex function; Holder inequality; fractional integral operator
|Publisher:||UNIV MISKOLC INST MATH, MISKOLC-EGYETEMVAROS, MISKOLC, H-3515, HUNGARY|
|Abstract:||In the paper, firstly, a new fractional integral identity is obtained. Then, some new results related to the left side of Fejer's inequality for differentiable mappings whose derivatives in absolute value are convex via fractional integral operator, using this identity with fundamental inequalities such as Holder's integral inequality, power-mean inequality and triangle inequality for integral, are presented. The results presented here would provide extensions of those proved in .|
|Appears in Collections:||Matematik|
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