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Erhan Set

Publications and source records attributed to Erhan Set.

17 recordsLinked to original sources
arXiv2021

Fractional integral inequalities via Atangana-Baleanu operators for convex and concave functions

Recently, many fractional integral operators were introduced by different mathematicians. One of these fractional operators, Atangana-Baleanu fractional integral operator, was defined by Atangana and Baleanu in [2]. In this study, firstly, a new identity by using Atangana-Baleanu fractional integral operators are proved. Then, new fractional integral inequalities have been obtained for convex and concave functions with the help of this identity and some certain integral inequalities

math.AP↗
arXiv2014

Some new general integral inequalities for P-functions

In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are P-functions. Some applications to special means of real numbers are also given.

math.CA↗
arXiv2014

Hermite-Hadamard type inequalities for harmonically convex functions on the co-ordinates

In recent years, new classes of convex functions have been introduced in order to generalize the results and to obtain new estimations. We also introduce the concept of harmonically convex functions on the co-ordinates. Also, we establish some inequalities of Hermit-Hadamard type as S.S. Dragomir' s results in Theorem 2 and other Hermit-Hadamard type inequalities for these classes of functions.

math.CA↗
arXiv2014

On new general integral inequalities for s-convex functions

In 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.

math.CA↗
arXiv2011

New inequalities of Ostrowski type for mappings whose derivatives are s-convex in the second sense via fractional integrals

New identity similar to an identity of [13] for fractional integrals have been defined. Then making use of this identity, some new Ostrowski type inequalities for Riemann-Liouville fractional integral have been developed. Our results have some relationships with the results of Alomari et. al., proved in [13] [published in. Appl. Math. Lett. 23 (2010) 1071-1076] and the analysis used in the proofs is simple.

math.CA↗
arXiv2011

On (h-m)-Convexity and Hadamard-Type Inequalities

In this paper, a new class of convex functions as a generalization of convexity which is called (h-m)-convex functions and some properties of this class is given. We also prove some Hadamard's type inequalities.

math.CA↗