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    Hermite-Hadamard type inequalities for harmonically (?, m)-convex functions

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    The author introduces the concept of harmonically (?, m)-convex functions and establishes some Hermite-Hadamard type inequalities of theseclasses of functions

    Hermite-Hadamard type inequalities for harmonically convex functions

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    The authorintroducestheconceptofharmonicallyconvexfunctions andestablishessomeHermite-Hadamardtypeinequalitiesofthese classesoffunctions

    (?, m)-konveks fonksiyonlar için baz integral e itsizliklerinin genelle tirilmesi üzerine yeni kestirimler

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    Bu makalede türevinin mutlak de eri belli kuvvetlerde (?, m)-konveks olan fonksiyonlar için orta nokta, yamuk ve Simpson e itsizliklerinin eldesi için birle ik bir yakla m çal ldIn this paper, it has been studied a unified approach to establish midpoint, trapezoid and Simpsons inequalities for functions whose derivatives in absolute value at certain power are (α, m)-convex

    s-geometrik konveks fonksiyonlar icin baz yeni Hermite-Hadamard tip e itsizlikler ve uygulamalar

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    Bu makalede türevlerinin mutlak de eri belli kuvvetlerde s-geometrik konveks olan fonksiyonlar s n f icin baz yeni Hermite-Hadamard tip e itsizlikler elde edilmi tir. Pozitif reel say lar n özel ortalamalar na baz uygulamalar da verilmi tirIn this paper, some new Hermite-Hadamard type integral inequalities are obtained for class of functions whose derivatives in absolutely value at certain powers are s-geometrically convex. Some applications to special means of positive real numbers are also given

    Symmetrized p-convexity and related some integral inequalities

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    In this paper, a new concept called as the symmetrized p-convex function which is a generalization of the symmetrized convex and symmetrized harmonic convex functions is introduced and some Hermite-Hadamard type inequalities for symmetrized p-convex functions is given

    Weighted Hermite–Hadamard–Mercer type inequalities for convex functions

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    In this paper, first, we prove the weighted Hermite Hadamard Mercer inequalities for convex functions, after we establish some new weighted inequalities connected with the right-sides of weighted Hermite Hadamard Mercer type inequalities for differentiable functions whose derivatives in absolute value at certain powers are convex. The results presented here would provide extensions of those given in earlier works

    SOME GENERAL INTEGRAL INEQUALITIES FOR LIPSCHITZIAN FUNCTIONS VIA CONFORMABLE FRACTIONAL INTEGRAL

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    In this paper, the author establishes some Hadamard-type and Bullen-type inequalities for Lipschitzian functions via Riemann Liouville fractional integral

    Some new integral inequalities for Lipschitzian functions

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    This paper is about obtaining some new type of integral inequalities for functions from the Lipschitz class. For this, some new integral inequalities related to the differences between the two different types of integral averages for Lipschitzian functions are obtained. Moreover, applications for some special means as arithmetic, geometric, logarithmic, -logarithmic, harmonic, identric are given. © 2018 Balikesir University. All rights reserved

    Better Approaches forn-Times Differentiable Convex Functions

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    In this work, by using an integral identity together with the Holder-Iscan inequality we establish several new inequalities forn-times differentiable convex and concave mappings. Furthermore, various applications for some special means as arithmetic, geometric, and logarithmic are given.The Praveen Agarwal would like to thanks the worthy referees and editor for their valuable suggestions for our paper in Mathematics. This work was supported by under the first author research grant supported by SERB Project Number: TAR/2018/000001, DST(project DST/INT/DAAD/P-21/2019) and DST (project INT/RUS/RFBR/308). This work was supported by the Natural Science Foundation of China (Grant Nos. 61673169, 11701176, 11626101, 11601485)

    On new inequalities of Hermite–Hadamard–Fejer type for harmonically convex functions via fractional integrals

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    Gozutok, Ugur/0000-0002-6072-3134; Kunt, Mehmet/0000-0002-8730-5370; iscan, imdat/0000-0001-6749-0591WOS: 000376453700006PubMed: 27330901In this paper, firstly, new Hermite-Hadamard type inequalities for harmonically convex functions in fractional integral forms are given. Secondly, Hermite-Hadamard-Fejer inequalities for harmonically convex functions in fractional integral forms are built. Finally, an integral identity and some Hermite-Hadamard-Fejer type integral inequalities for harmonically convex functions in fractional integral forms are obtained. Some results presented here provide extensions of others given in earlier works
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