ARDIÇ, MERVE AVCI, ÖNALAN, HAVVA KAVURMACI, AKDEMIR, AHMET OCAK, and NGUYEN, ANH TUAN
Subjects
*CONVEX functions, *REAL variables, *MATHEMATICS, *INTEGRAL operators, *OPERATOR theory
Abstract
We have established this paper on m convex functions, which can be expressed as a general form of the convex function concept. First of all, some inequalities of Hadamard type are proved with fairly simple conditions. Next, an integral identity containing Atangana-Baleanu fractional integral operators is obtained to prove new inequalities for differentiable m-convex functions. Using this identity, various properties of m convex functions and classical inequalities, some new integral inequalities have been proved. [ABSTRACT FROM AUTHOR]
RAGHUWANSHI, TEERATHRAM, PANDEY, GITESHWARI, PANDEY, MANOJ KUMAR, and GOYAL, ANIL
Subjects
*MANIFOLDS (Mathematics), *MATHEMATICS theorems, *INTEGRAL operators, *DIFFERENTIAL operators, *FIXED point theory
Abstract
The object of the present paper is to generalize projective curvature tensor of paraKenmotsu manifold with the help of a new generalized (0,2) symmetric tensor Z introduced by Mantica and Suh. Various geometric properties of generalized projective curvature tensor of para-Kenmotsu manifold have been studied. It is shown that a generalized projectively φ symmetric para-Kenmotsu manifold is an Einstein manifold. [ABSTRACT FROM AUTHOR]
Let R be a commutative ring with identity, S be a multiplicatively closed subset of R, and M be an R-module. The aim of this paper is to introduce the notion of S-copure submodules and investigate some properties of this class of modules. We say that a submodule N of M is S-copure if there exists an s ∈ S such that s(N :M I) ⊆ N + (0 :M I) for every ideal I of R. [ABSTRACT FROM AUTHOR]
In this paper, we define Gaussian Fibonacci quaternion polynomials and Gaussian Lucas quaternion polynomials. We also investigate some properties of these quaternion polynomials. [ABSTRACT FROM AUTHOR]
MEHMOOD, SIKANDER, ZAFAR, FIZA, FURKAN, HASAN, YASMIN, NUSRAT, and AKDEMIR, AHMET OCAK
Subjects
*INTEGRALS, *FIXED point theory, *MATHEMATICS theorems, *INTEGRAL operators, *DIFFERENTIAL operators
Abstract
In this paper, some new estimations of Hermite-Hadamard-Fejér type inequalities for higher order differentiable preinvex functions are established via fractional integral operators. The main motivation point of the study is that our findings, which include generalized preinvex functions for Hermite-Hadamard-Fejér type inequalities by means of fractional integral operators, are the rare results in the literature. The coincidence of the special cases of the our main theorems with the earlier works in the literature is also demonstrated as a verification of our results. [ABSTRACT FROM AUTHOR]