Iranian Journal of Mathematical Sciences and Informatics
Year:2018 | Volume:13 | Issue:1|Papers Count:13

In this article, we obtain generalizations for Gruss type integral inequality by using h (x) -Riemann-Liouville fractional integrals.

In this paper, we investigate the means of the values of primes counting function p (x). First, we compute the arithmetic, the geometric, and the harmonic means of the values of this function, and then we study the limit value of their ratio.

This paper is concerned with the study of fuzzy dynamical systems. Let (X, M, *) be a fuzzy metric space in the sense of George and Veeramani. A fuzzy discrete dynamical system is given by any fuzzy continuous self-map defined on X. We introduce the various fuzzy shad- owing and fuzzy topological transitivity on a fuzzy discrete dynamical systems. Some relations between these notions have been proved.

The largest class of hyper structures is the Hv-structures, introduced in 1990, which proved to have a lot of applications in mathematics and several applied sciences, as well. Hyper structures are used in the Lie-Santilli theory focusing to the hyper numbers, called e-numbers. We present the appropriate e-hyper structures which are defined using any map, in the sense the derivative map, called ¶-hyper structures.

In this paper, we define duplication corona, duplication neigh-borhood corona and duplication edge corona of two graphs. We compute their adjacency spectrum, Laplacian spectrum and signless Laplacian spectrum. As an application, our results enable us to construct infinitely many pairs of cospectral graphs and also integral graphs.

Let R be a commutative ring and I an ideal of R. The zero-divisor graph of R with respect to I, denoted by GI (R), is the simple graph whose vertex set is {xÎR\I | xyÎI, for some yÎR\I}, with two distinct vertices x and y are adjacent if and only if xyÎI. In this paper, we state a relation between zero-divisor graph of R with respect to an ideal and almost prime ideals of R. We then use this result to give a graphical characterization for SPAP-rings.

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This paper is concerned with the relation between local coho-mology modules defined by a pair of ideals and the Serre subcategories of the category of modules. We characterize the membership of local coho-mology modules in a certain Serre subcategory from lower range or upper range.

The purpose of this short note is to consider much shorter and nicer proofs about fixed point results on b-metric spaces via b-simulation function introduced very recently by Demma et al. [M. Demma, R. Saadati, P. Vetro, Fixed point results on b-metric space via Picard sequences and b-simulation functions, Iranian J. Math. Sci. Infor.11 (1) (2016) 123-136].

In this paper, the concept of a family of local atoms in a 2-inner product space is introduced and then this concept is generalized to an atomic system for an operator. Next a characterization of atomic systems is proved. This characterization lead us to obtain a new frame which is a generalization of frames in 2-inner product spaces.

In this paper, we investigate the connection between closed Newton-Cotes formulae, trigonometrically-fitted methods, symplectic integrators and efficient integration of the Schrodinger equation. The study of multistep symplectic integrators is very poor although in the last decades several one step symplectic integrators have been produced based on symplectic geometry (see the relevant literature and the references here). In this paper we study the closed Newton-Cotes formulae and we write them as symplectic multilayer structures. Based on the closed Newton-Cotes formulae, we also develop trigonometrically-fitted symplectic methods. An error analysis for the one-dimensional Schrodinger equation of the new developed methods and a comparison with previous developed methods is also given. We apply the new symplectic schemes to the well-known radial Schrodinger equation in order to investigate the efficiency of the proposed method to these type of problems.

In this paper, we characterize the shellable complete t-partite graphs. It is also shown that for these types of graphs the concepts vertex decomposable, shellable and sequentially Cohen-Macaulay are equivalent. Furthermore, we give a combinatorial condition for the Cohen-Macaulay complete t-partite graphs.

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