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Found 11 articles for "Department of Mathematics"
In this article, using an Orlicz function, some new classes of zweier I-convergent triple sequence spaces of fuzzy numbers are introduced. An effort is made to study some basic algebraic and topological properties of these introduced sequence spaces....
In this paper, an efficient method is presented for solving three-dimensional Volterra integral equations of the second kind with a continuous kernel. The method utilizes shifted Chebyshev polynomials to approximate solutions to these integral equati...
This paper presents a novel theorem on the approximation of almost Lipschitz functions using the Kλ-summability method in Fourier series. The Kλ-summability technique, first introduced by Karamata in 1935, has seen further development over the year...
The differential transformation method (DTM) is applied to solve second-order random differential equations. In this study, we explore the application of DTM to several examples to demonstrate its effectiveness in obtaining both exact and approximate...
The notion of N-continuous functions between generalized topological spaces has been defined. This paper relates this concept to the coN-closed generalized topology of a generalized topological space and studies the properties of coN-closed generaliz...
In this paper, we introduce and investigate a new class of preinvex functions, which is called geometrically log-preinvex functions. We explore the properties of these functions and derive several new Hermite-Hadamard type inequalities. The results p...
In this paper, we investigate the splitting graph of the family of bipartite graphs, focusing on paths and cycles as even sum cordial graphs. We prove that several classes of graphs, including Pm(+)Kn, (Kn[Pm) + 2K1, hW(1)n, W(2)\nn i, Bn;n, S(Bn;n),...
In this article, we introduce the class of I-convergent sequences of fuzzy real numbers of multiplicity greater than two. We explore various algebraic and topological properties of these spaces, such as solidness, symmetricity, and monotonicity. The ...
This paper addresses the Quadrature Surfaces Free Boundary Problem, a significant challenge in the field of shape optimization and mathematical physics. We explore the existence of solutions by utilizing the shape derivative and applying the maximum ...
It is well known that the operations with fuzzy sets are based on calculations with the values of membership functions or the membership degree of the elements. In this paper, a new operation with fuzzy sets is discovered and contributed, named mixtu...
In this paper, we introduce and investigate new classes of -Lindelof spaces within generalized topological spaces. We explore their properties and analyze the relationships between these spaces and various other topological constructs. Our findings r...