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In this paper, we give a generalized definition namely strongly  α , h ‐ m -convex function that unifies many known definitions. By applying this new definition, we present inequalities for unified integral operators which have connection with many of the well-known results for different kinds of convex functions. Moreover, this paper at once provides refinements and generalizations of a lot of fractional integral inequalities which are identified in remarks.

journal of function spaces

Inequalities for Unified Integral Operators via Strongly<math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"><mfenced open="(" close=")"><mrow><mi>α</mi><mo>,</mo><mi>h</mi><mo>‐</mo><mi>m</mi></mrow></mfenced></math>-Convexity

Inequalities for Unified Integral Operators via Stronglyα,h‐m-Convexity

Inequalities for Unified Integral Operators via Strongly $(α, h ‐ m)$ -Convexity