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In this paper we established a new Simpson type conformable fractional integral equality for convex functions. Based on this identity, some results related to Simpson-like type inequalities are obtained. These results are then applied to…

Classical Analysis and ODEs · Mathematics 2024-09-05 Zeynep Şanlı

In this paper, we obtain some new integral inequalities like Hermite-Hadamard type for third derivatives absolute value are log-convex. We give some applications to quadrature formula for midpoint error estimate.

Classical Analysis and ODEs · Mathematics 2014-05-30 Merve Avci Ardic , M. E. Ozdemir

In the present work we give several new integral inequalities of the type Riemann-Liouville fractional integral via Montgomery identities integrals.

Functional Analysis · Mathematics 2012-06-27 Mehmet Zeki Sarikaya , Hatice Yaldiz , Erhan Set

In this paper, we established some new inequalities via s-convex and s-concave functions.

Classical Analysis and ODEs · Mathematics 2012-12-11 Merve Avci Ardic , M. Emin Ozdemir

In the paper, two new identities involving the local fractional integrals have been established. Using these two identities, we obtain some generalized Hermite-Hadamard type integral inequalities for the local differentiable generalized…

Classical Analysis and ODEs · Mathematics 2014-10-07 Huixia Mo

In this paper, new identity for fractional integrals have been defined. By using of this identity, we obtained new general inequalities containing all of Hadamard, Ostrowski and Simpson type inequalities for for functions whose derivatives…

Classical Analysis and ODEs · Mathematics 2013-08-01 Imdat Iscan

In this paper our aim is to prove some monotonicity and convexity results for the modified Struve function of the second kind by using its integral representation. Moreover, as consequences of these results, we present some functional…

Classical Analysis and ODEs · Mathematics 2015-01-28 Árpád Baricz , Tibor K. Pogány

In this paper, we establish several new inequalities for twice differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality. Some applications for special means of real numbers are also provided.

Classical Analysis and ODEs · Mathematics 2010-05-05 M. Z. Sarikaya , A. Saglam , H. Yildirim

A generalised trapezoid inequality for convex functions and applications for quadrature rules are given. A refinement and a counterpart result for the Hermite-Hadamard inequalities are obtained and some inequalities for pdf's and…

Numerical Analysis · Mathematics 2025-10-20 Sever Silvestru Dragomir

In this paper, we obtain some new estimations of Iyengar-type inequality in which quasi-convex(quasi-concave) functions are involved. These estimations are improvements of some recently obtained estimations. Some error estimations for the…

Functional Analysis · Mathematics 2012-09-13 M. Emin Ozdemir

An Ostrowski type integral inequality for convex functions and applications for quadrature rules and integral means are given. A refinement and a counterpart result for Hermite-Hadamard inequalities are obtained and some inequalities for…

Numerical Analysis · Mathematics 2025-10-20 Sever Silvestru Dragomir

This paper deals with more refinements of inequalities related to deviations from Mean Value involving superquadratic and uniformly convex functions.

Functional Analysis · Mathematics 2025-08-12 Shoshana Abramovich

In this paper, a new lemma is proved and inequalities of Simpson type are established for co-ordinated convex functions and bounded functions.

Classical Analysis and ODEs · Mathematics 2011-01-05 M. Emin Ozdemir , Ahmet Ocak Akdemir , Havva Kavurmaci , Merve Avci

In 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.

Classical Analysis and ODEs · Mathematics 2014-12-03 Erhan Set , Imdat Iscan , Hasan Huseyin Kara

In this paper, we obtain some new inequalities for functions which are introduced by Godunova and Levin.

Functional Analysis · Mathematics 2013-11-25 M. Emin Ozdemir , Merve Avci

In this paper, two new lemmas are proved and inequalities are established for co-ordinated convex functions and co-ordinated s-convex functions.

Classical Analysis and ODEs · Mathematics 2011-07-18 M. Emin Ozdemir , Havva Kavurmaci , Ahmet Ocak Akdemir , Merve Avci

Identities and inequalities for the cosine and sine functions are obtained.

Classical Analysis and ODEs · Mathematics 2020-01-13 Iosif Pinelis

We discuss the use of inequalities to obtain the solution of certain variational problems on time scales.

Optimization and Control · Mathematics 2012-11-05 Martin J. Bohner , Rui A. C. Ferreira , Delfim F. M. Torres

We introduce and investigate the concept of harmonical $h$-convexity for interval-valued functions. Under this new concept, we prove some new Hermite-Hadamard type inequalities for the interval Riemann integral.

General Mathematics · Mathematics 2020-02-10 Dafang Zhao , Tianqing An , Guoju Ye , Delfim F. M. Torres

In this paper, an integral identity for twice differentiable functions is generalized. Then, by using convexity of |f''| or q-th power of |f''| and with the aid of power mean and Holder's inequalities we achieved some new results. We also…

Functional Analysis · Mathematics 2015-03-10 Mustafa Gurbuz , Abdullah Yaradilmis
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