Some new inequalities of Hermite-Hadamard type fors-convex functions with applications

Muhammad Adil Khan; Yuming Chu; Tahir Ullah Khan; Jamroz Khan

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Displaying similar documents to “Some new inequalities of Hermite-Hadamard type fors-convex functions with applications”

Characterization of convex functions

Jacek Tabor, Józef Tabor (2009)

Studia Mathematica

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There are many inequalities which in the class of continuous functions are equivalent to convexity (for example the Jensen inequality and the Hermite-Hadamard inequalities). We show that this is not a coincidence: every nontrivial linear inequality which is valid for all convex functions is valid only for convex functions.

On the more general Hermite-Hadamard type inequalities for convex functions via conformable fractional integrals

Erhan Set, Ilker Mumcu, M. Emin Özdemir (2017)

Topological Algebra and its Applications

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Hermite-Hadamard Type Inequalities for convex functions via generalized fractional integral operators

Erhan Set, Abdurrahman Gözpinar (2016)

Topological Algebra and its Applications

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In this present work, the authors establish a new integral identity involving generalized fractional integral operators and by using this fractional-type integral identity, obtain some new Hermite-Hadamard type inequalities for functions whose first derivatives in absolute value are convex. Relevant connections of the results presented here with those earlier ones are also pointed out.