In this paper, some algebraic properties of Cesáro double ideal convergent sequence spaces are defined and proved.Those spaces are defined as C I nm and C I 0nm .Furthermore, this paper shows some inclusion relations on these spaces which are established and proved.
Intensive studies aiming to extend the beta function and to establish some properties for these extensions have been recently carried out.In this article, we investigate some inequalities for a special extension of the beta function.Based on some integral inequalities, we establish several inequalities involving this extended beta function that generalize some results already discussed in the literature.
We denote p(z) as analytic functions defined on the open unit disk with p(0) = 1. In this paper, we determined the condition for so that the results hold for the expressions 1+ zp′(z), 1+ zp′(z)/p(z) and 1+ zp′(z)/p2(z) are subordinate to √1 + cz.
The purpose of this note is to present a relation between the arithmetic mean, of a finite number of real numbers, and the arithmetic mean of their images through a convex function. Some applications of this inequality are also included.
In this paper, we investigate the existence and uniqueness of positive solutions of boundary value problems (BVPs) for fractional differential equations (FDEs) with boundary conditions (BCs) involving the Riemann-Liouville (RL) fractional derivative of the form:The technique employed is coupled lower and upper solutions with fixed point theory on cone.An example is presented to justify our results.
Abstract: In this paper we study the one–sided Hausdorff approximation of the shifted Heaviside step function by a family of Exponential–Generalized Extended Gompertz (EGEG) cumulative sigmoid. The model has a certain right of existence insofar as the theory of sigmoidal functions is well developed. The estimates of the value of the best Hausdorff approximation obtained in this article can be used in practice as one possible additional criterion in ”saturation” study.
An edge trimagic total labeling of a graph G = (V,E) with p vertices and q edges is a bijection f : V (G) ∪ E(G) → {1, 2, . . . , p + q} if for each edge uv ∈ E(G), the value of f(u) + f(uv) + f(v) is either k1 or k2 or k3. In this paper, we prove that the Closed helm CHn, Antiprism An and Square graph of Cn are edge trimagic total and super edge trimagic total labeling. AMS Subject Classification: 05C78
In this paper I provide a very short but decisive proof that P ≠ NP, and NP=EXPTIME in the context of the Zermelo-Frankel set theory and deterministic Turing machines. We discuss also the subtle implications of considering the P versus NP problem, in different axiomatic theories. The results of the current paper definitely solve the 3 Clay Millennium problem P versus NP, in a simple and transparent away that the general scientific community, but also the experts of the area, can follow, understand and therefore become able to accept.
In this paper we investigate the SD prime cordial labeling for G ∪ (Pn K1), G ∪K1,n,n, G ∪ PSn and G ∪ Pn. MSC: 05C79.
Let G = (V,E) be a finite, simple and undirected graph. A partition of V (G) into independent sets such that each independent set is dominated by a vertex belonging to V is called a color class domination partition (in short cd-partition) [[3], [4], [10], [11], [12]]. The minimum cardinality of a cd-partition is called the cd-chromatic number of G and is denoted by χcd(G). A proper coloring of G in which each vertex of the graph dominates some color class is called a dominator coloring of G and the minimum number of color classes in a dominator coloring of G is called the dominator chromatic number of G and is denoted by χd(G) [[1], [5],[6], [8]]. In a χd-partition of G, any set formed by selecting one vertex each from every color class becomes a dominating set of G. That is, in such a dominating set each vertex has distinct color and no color is represented by more than one element. Thus, a χd-coloring gives rise to a dominating set which can be rightly called a colorful dominating set of G (also called gamma coloring of G [8]). In the case of χcd-partition, this does not happen generally. So, it is a nice problem to find the minimum cardinality of a cd-partition which will Received: June 7, 2017 Revised: September 9, 2017 Published: August 4, 2018 c © 2018 Academic Publications, Ltd. url: www.acadpubl.eu Correspondence author 624 V. Praba, V. Swaminathan, P. Aristotle give rise to a colorful dominating set. This new parameter is denoted by χ γ (G). A study of this parameter is initiated in this paper. AMS Subject Classification: 05C69
This study deals with some common fixed point theorems for multi-valued mappings in intuitionistic fuzzy metric space by relaxing the condition of continuous mapping and replacing the completeness of the space with a set of an alternative conditions. We improve some earlier results. AMS Subject Classification: 47H10, 54H25
Abstract: In this paper, we introduce a new numerical method for solving ordinary differential equations in both linear and non linear cases. We apply new iterative method (NIM) on implicit midpoint rule to derive a new numerical method. We further present the error, convergence and stability analysis of the proposed method. The efficiency of the new method is tested through various types of numerical problems and it shows that the results are be the same as with exact solutions.
This paper describes the construction of a topological space from two different fuzzy topologies using the fuzzy b-q-nbd of a fuzzy point with respect to one topology and the fuzzy b-closure of a fuzzy set with respect to another topology. Additionally, some relationships are established between the two adopted topologies and the resulting mixed topology. Finally, we define countability on mixed fuzzy topological spaces and investigate the various quasi-type properties of such spaces.
Abstract: In this paper we study the one–sided Hausdorff approximation of the shifted Heaviside step function by some classes of Weibull–R Family with baseline Pareto and Lomax cumulative sigmoids. The estimates of the value of the best Hausdorff approximation obtained in this article can be used in practice as one possible additional criterion in ”saturation” study. Numerical examples, illustrating our results are presented using programming environment CAS Mathematica.
