89 research outputs found
HERMITE-HADAMARD TYPE INEQUALITIES FOR HARMONICALLY CONVEX FUNCTIONS
No full textiscan, imdat/0000-0001-6749-0591WOS: 000348691000005The author introduces the concept of harmonically convex functions and establishes some Hermite-Hadamard type inequalities of these classes of functions
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
New general integral inequalities for quasi-geometrically convex functions via fractional integrals
No full textiscan, 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
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 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
HERMITE-HADAMARD TYPE INEQUALITIES FOR HARMONICALLY CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS
No full textiscan, imdat/0000-0001-6749-0591WOS: 000453593500001In this paper, firstly we have established Hermite Hadamard-Fejer inequality for fractional integrals. Secondly, an integral identity and some Hermite-Hadamard-Fejer type integral inequalities for the fractional integrals have been obtained. The some results presented here would provide extensions of those given in earlier works
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
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
Hermite-Hadamard type inequalities for product of GA-convex functions via Hadamard fractional integrals
No full textiscan, imdat/0000-0001-6749-0591; Kunt, Mehmet/0000-0002-8730-5370WOS: 000425518100004In this paper, some Hermite-Hadamard type inequalities for products of two GA-convex functions via Hadamard fractional integrals are established. Our results about GA-convex functions are analogous generalizations for some other results proved by Pachpette for convex functions
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