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On Generalized Strongly <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>p</mml:mi></mml:math>-Convex Functions of Higher Order

On Generalized Strongly <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>p</mml:mi></mml:math>-Convex Functions of Higher Order

The aim of this paper is to introduce the definition of a generalized strongly <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mi>p</mml:mi></mml:math>-convex function for higher order. We will develop some basic results related to generalized strongly <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mi>p</mml:mi></mml:math>-convex function of higher order. Moreover, we will develop Hermiteā€“Hadamard-, FejĆ©r-, and Schur-type inequalities for this generalization.