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In this paper we establish a generalization of the right Fejer´ inequality for general Lebesgue integral on measurable spaces as well as a positive lower bound and some upper bounds for the differen ... Read More

In harmonic analysis, wavelets are useful and important tools for analyzing problems and equations. As far as we know, the wavelet applications for solving differential equations are limited to solv ... Read More

In this paper we propose a nonstandard finite difference scheme for an epidemic model which considers the effect of media coverage on the spread of some infectious diseases. We show that this scheme ... Read More

For a graph G = (VG, EG), consider a mapping h : EG → {0, 1, 2, . . . , k − 1}, 2 ≤ k ≤ |EG| which induces a mapping h ∗ : VG → {0, 1, 2, . . . , k − 1} such that h ∗ (v) = Qn i=1 h(ei)( mod k) ... Read More

Hepatitis B is a contagious liver infection caused by hepatitis B virus and is a worldwide public health problem. According to WHO about 350 million people are suffering from this chronic disease. T ... Read More

We consider a system of a pair of quasi one dimensional BoseEinstein condensates which are coupled with each other. The waveguides of the two condensates are assumed to be parallel. The system can be ... Read More

We consider a financial market where there are brusque variations in the price of an asset and an European option on this asset. In this setup the value as well as the hedging process functions are e ... Read More

This paper deals with a new application of Bernstein polynomials to find approximate solution of linear Volterra Integro-differential equation of a special kind. For this purpose, we first need to co ... Read More

Kidney Dialysis is considered as one of the world’s major health problems. Level of occurrence of this illness is high and every year increases by %8. Kidney Dialysis refers to temporary or permanen ... Read More

. In this paper, we establish connections between the Hyers– Ulam stability of the first order linear dynamic system and its dichotomy. The main tool for proving our results is the spectral decompos ... Read More

In this paper, we first utilize the least squares strategy for the (2n) 2 -observations to fit bivariate cubic polynomial for n ≥ 2. At that point the (2n) 2 -point approximating subdivision sch ... Read More

This article presents some starting solutions corresponding to unsteady rotational flow of a second grade fluid with the non-integer Caputo time fractional derivatives through an infinite long cylind ... Read More

In 1931, the young Austrian mathematician that a formal mathematical system is either incomplete or inconsistent. To put it in another words that there statements in mathematics which are un decidabl ... Read More

In this paper we give the refinement of Jensen-Mercer’s and power mean inequalities for operators. We launch the corresponding mixed symmetric means for strictly positive operators defined on Hilber ... Read More

This article leads to free convection problem of magnetohydrodynamic second grade fluid with porous medium using recently defined Caputo-Fabrizoi fractional derivatives. Analytical expressions for te ... Read More

In this article, the main properties of a somewhere dense set [13] on topological spaces are studied and then it is used to generalize the notions of interior, closure and boundary operators. The cl ... Read More

Global Optimization has become an important branch of mathematical analysis and numerical analysis in the recent years. Practical example of the optimization problems including the design and optimiza ... Read More

In the study of ecological sciences predator-prey models are very beneficial and they are frequently used because dynamics of animal populations can easily be observed and researchers can also predi ... Read More

In this paper, a modified factor-type estimator under two-phase sampling has been suggested. The suggested estimator is obtained by incorporating information like coefficient of variation, kurtosis, ... Read More

Two new algorithms of fourth and fifth order convergence have been introduced. We have used Modified decomposition technique to develop our algorithms. Convergence analysis of newly introduced algori ... Read More

In this research, Grassmannian complex (Configuration Complex) is being introduced in a generalized form. Its 4 th and 5 th order complexes are being constructed at first, then Nth order generalizat ... Read More

A positive integer n is called super totient if the residues of n which are prime to n can be partitioned into two disjoint subsets of equal sums. Let G be a given graph with V, the set of vertices ... Read More

. In this paper, we bring into focus a fractional order epidemic model of a vector -born disease with direct transmission in a population which is assumed to have a constant size over the period of ... Read More

In this paper, we define (n, k) triple factorial and extend the definition up to a finite number of multi-factorials of the said type. We express the Pochhammer’s symbol and hypergeometric functions ... Read More

In the current work, a mathematical model which describes the steady flow of a third grade fluid in a porous half space is investigated numerically. An approximate expression for solution of the gov ... Read More

In this article, mathematical expressions that represent the dynamics of air pollution associated with electric power generating industries ( in particular, atmospheric Co2 ) is proposed using an o ... Read More

A multi-step frozen Jacobian iterative scheme for solving system of nonlinear equations associated with IVPs (initial value problems) and BVPs (boundary value problems) is constructed. The multi-ste ... Read More

Following the work of C. B. van Wyk on the Lorentz group SO(3, 1), we first express a general finite rotation of SO(4) in terms of 2 ordinary (3-dimensional) vectors a and b satisfying certain cond ... Read More

In this paper we study the derivations of a subclass of Leibniz algebras. We tabulate the basis derivations of this class in low-dimensional cases. Then we construct a basis of the derivation algeb ... Read More

In this paper, we suggest and analyze two new third order iterative methods for approximation of zeros of nonlinear equations based on quadrature rules. Convergence analysis of these iteration sche ... Read More

We consider a repeated QR updating algorithm for the solution of equality constrained linear least squares problems. The constrained problem is first converted into the linear least squares problem us ... Read More

In our study, we define aggregation operators for cubic hesitant fuzzy sets which includes generalized cubic hesitant fuzzy averaging (geometric) operator, cubic hesitant fuzzy ordered weighted averag ... Read More

In this paper, we prove that the Gardner equation with the small parameter is approximately nonlinear self-adjoint. This property is important for constructing approximate conservation laws associa ... Read More

We prove that the homogeneous and non-homogeneous linear Volterra summation equations are Hyers–Ulam stable on Z+ ... Read More

A topological index is a function which associates real number to the graphs. Graph theory is significant in the subject of structural chemistry. In this paper we calculated Rα, Mα, χα, ABC, GA, ABC4 ... Read More

Zadeh introduced the concept of fuzzy sets as a mathematical tool to deal with uncertainty, imprecision and vagueness. Since then, many higher order fuzzy sets, including intuitionistic fuzzy sets, ... Read More