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Erhan Set and İlker Mumcu

Abstract

In this paper, firstly, a new identity for conformable fractional integrals is established. Then by making use of the established identity, some new fractional Fejér type inequalities are established. The results presented here have some relationships with the results of Set et al. (2015), proved in [6].

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Gizem S. Oztepe, Fatma Karakoc and Huseyin Bereketoglu

Abstract

This paper concerns with the existence of the solutions of a second order impulsive delay differential equation with a piecewise constant argument. Moreover, oscillation, nonoscillation and periodicity of the solutions are investigated.

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A. Selvakumar, M. Parimala and S. Shanthakumari

Abstract

In this paper we introduce (I, γ)-g*-closed sets in topological spaces and also introduce γg* - TI-spaces and investigate some of their properties.

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Y. Zhang, Z. Gao and H. Zhang

Abstract

We study the growth of the transcendental meromorphic solution f(z) of the linear difference equation: where q(z), p0(z), ..., pn-(z) (n ≥ 1) are polynomials such that p0(z)pn(z) ≢ 0, and obtain some necessary conditions guaranteeing that the order of f(z) satisfies σ(f) ≥ 1 using a difference analogue of the Wiman-Valiron theory. Moreover, we give the form of f(z) with two Borel exceptional values when two of p0(z), ..., pn(z) have the maximal degrees.

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Rory Biggs

Abstract

We investigate the isometry groups of the left-invariant Riemannian and sub-Riemannian structures on simply connected three-dimensional Lie groups. More specifically, we determine the isometry group for each normalized structure and hence characterize for exactly which structures (and groups) the isotropy subgroup of the identity is contained in the group of automorphisms of the Lie group. It turns out (in both the Riemannian and sub-Riemannian cases) that for most structures any isometry is the composition of a left translation and a Lie group automorphism.

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Murat Kirişci

Abstract

Fuzzy sets are the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling. Fuzzy sets have be- come popular in every branch of mathematics such as analysis, topology, algebra, applied mathematics etc. Thus fuzzy sets triggered the creation of a wide range of research topics in all areas of science in a short time. In this paper, we use the triangular fuzzy numbers for matrix domains of sequence spaces with infinite matrices. We construct the new space with triangular fuzzy numbers and investigate to structural, topological and algebraic properties of these spaces.

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M. Adil Khan, Tahir Ali and Tahir Ullah Khan

Abstract

In this article first, we give an integral identity and prove some Hermite-Hadamard type inequalities for the function f such that |f″|q is convex or concave for q ≥ 1. Second, by using these results, we present applications to f-divergence measures. At the end, we obtain some bounds for special means of real numbers and new error estimates for the trapezoidal formula.

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Artion Kashuri and Rozana Liko

Abstract

In the present paper, a new class of generalized (r; g; s; m; ϕ)-preinvex functions is introduced and some new integral inequalities for the left hand side of Gauss-Jacobi type quadrature formula involving generalized (r; g; s; m; ϕ)-preinvex functions are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for generalized (r; g; s; m; ϕ)-preinvex functions via Riemann-Liouville fractional integrals are established. These results not only extend the results appeared in the literature (see [1],[2]), but also provide new estimates on these types.

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G.V. Ravindranadh Babu and M. Dula Tolera

Abstract

In this paper, we introduce generalized (α, ψ, φ)-rational contractive mappings in α-complete metric spaces and prove some new fixed point results for this class of mappings. We provide examples in support of our results. Our results generalize the fixed point results of Singh, Kamal, Sen and Chugh [22] and Piri and Kumam [18].

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Acar Özlem and Altun Ishak

Abstract

In this paper, we define a new type Geraghty type contraction, ψF -Geraghty contraction, and prove a fixed point theorem for this type contraction and give an illustrative example.