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Giaccardi Inequality for Modified <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>h</mi> </math>-Convex Functions and Mean Value Theorems
In this article, we consider the class of modified <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <mi>h</mi> <mo>−</mo> </math> convex functions and derive the famous Giaccardi and Petrovi <math xmlns="http://www.w3.org/1998/Math/MathML" id="M3"> <msup> <mrow> <mtext>c</mtext> </mrow> <mrow> <mo>′</mo> </mrow> </msup> </math> type inequalities for this class of functions. The mean value theorems for the functionals …