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In this paper, we study integral inequalities which will provide refinements of bounds of unified integral operators established for convex and  α , m -convex functions. A new definition of function, namely, strongly  α , m -convex function is applied in different forms and an extended Mittag-Leffler function is utilized to get the required results. Moreover, the obtained results in special cases give refinements of fractional integral inequalities published in this decade.

journal of function spaces

Inequalities for a Unified Integral Operator for Strongly <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mfenced open="(" close=")"> <mrow> <mi>α</mi> <mo>,</mo> <mi>m</mi> </mrow> </mfenced> </math>-Convex Function and Related Results in Fractional Calculus

Inequalities for a Unified Integral Operator for Strongly α , m -Convex Function and Related Results in Fractional Calculus

Inequalities for a Unified Integral Operator for Strongly $(α, m)$ -Convex Function and Related Results in Fractional Calculus