1,721,002 research outputs found
Hermite-Hadamard type inequalities for harmonically (alpha, m)-convex functions
No full textiscan, imdat/0000-0001-6749-0591WOS: 000379032300008The author introduces the concept of harmonically (alpha, m)-convex functions and establishes some Hermite-Hadamard type inequalities of these classes of functions
On generalization of different type inequalities for harmonically quasi-convex functions via fractional integrals
No full textiscan, imdat/0000-0001-6749-0591WOS: 000367522400025In this paper, a new general identity for fractional integrals have been defined. By using of this identity, new estimates on generalization of Hadamard, Ostrowski and Simpson like type inequalities for harmonically quasi-convex functions via the Riemann-Liouville fractional integral have been obtained. (C) 2015 Elsevier Inc. All rights reserved
New general integral inequalities for quasi-geometrically convex functions via fractional integrals
Full text linkiscan, imdat/0000-0001-6749-0591WOS: 000332038400037In this paper, the author introduces the concept of the quasi-geometrically convex functions, gives Hermite-Hadamard's inequalities for GA-convex functions in fractional integral forms and defines a new identity for fractional integrals. By using this identity, the author obtains new estimates on generalization of Hadamard et al. type inequalities for quasi-geometrically convex functions via Hadamard fractional integrals
New refinements for integral and sum forms of Holder inequality
No full textiscan, imdat/0000-0001-6749-0591WOS: 000500354400002In this paper, we establish new refinements for integral and sum forms of Holder inequality. Many existing inequalities related to the Holder inequality can be improved via newly obtained inequalities, which we illustrate by an application
SOME NEW SIMPSON TYPE INEQUALITIES FOR THE p-CONVEX AND p-CONCAVE FUNCTIONS
No full textiscan, imdat/0000-0001-6749-0591WOS: 000439232800024In this paper, we establish some new Simpson type inequalities for the class of functions whose derivatives in absolute values at certain powers are p-convex and p-concave
Some Ostrowski Type Inequalities for Harmonically (s,m)-Convex Functions in Second Sense
No full textiscan, imdat/0000-0001-6749-0591WOS: 000215263400005The authors introduce the concept of harmonically (s,m)-convex functions in second sense and establish some Ostrowski type inequalities of these classes of functions
Some new Hermite-Hadamard type inequalities for s-convex functions and their applications
No full textOzcan, Serap/0000-0001-6496-5088; iscan, imdat/0000-0001-6749-0591WOS: 000475938500002In this paper, we establish some new integral inequalities of Hermite-Hadamard type for s-convex functions by using the Holder-iscan integral inequality. We also compare our new results with the known results and show that the results which we obtained are better than the known results. Finally, we give some applications to trapezoidal formula and to special means
Hermite-Hadamard-Fejer Type Inequalities for s-Convex Function in the Second Sense via Fractional Integrals
No full textiscan, imdat/0000-0001-6749-0591; SET, ERHAN/0000-0003-1364-5396; Kara, Hasan Huseyin/0000-0002-4701-8545WOS: 000393218000001In this paper, we established Hermite-Hadamard-Fejer type inequalities for s-convex functions in the second sense via fractional integrals. The some results presented here would provide extansions of those given in earlier works
Hermite-Hadamard Type Inequalities For Product of Harmonically Convex Functions Via Riemann-Liouville Fractional Integrals
No full textiscan, imdat/0000-0001-6749-0591; Kunt, Mehmet/0000-0002-8730-5370WOS: 000389637700006In this paper, some Hermite-Hadamard type inequalities for products of two harmonically convex functions via Riemann-Liouville fractional integrals are established. Our results about harmonically convex functions are analogous generalizations for some other results proved by Pachpette, Chan and Noor for convex and harmonically h-convex functions
On new general integral inequalities for s-convex functions
No full textiscan, imdat/0000-0001-6749-0591; SET, ERHAN/0000-0003-1364-5396WOS: 000344473300028In this paper, the authors establish some new estimates for the remainder term of the midpoint, trapezoid, and Simpson formula using functions whose derivatives in absolute value at certain power are s-convex. Some applications to special means of real numbers are provided as well. (C) 2014 Elsevier Inc. All rights reserved
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