Generalized I of strongly Lacunary of x2 over p-metric spaces defined by Musielak Orlicz function

In this paper, we introduce generalized difference sequence spaces via ideal convergence, lacunary of x2 sequence spaces over p-metric spaces defined by Musielak function, and examine the Musielak-Orlicz function which satisfies uniform Δ2 condition, and we also discuss some topological properties of the resulting spaces of x2 with respect to ideal structures which is solid and monotone. Hence, given an example of the space x2 this is not solid and not monotone. This theory is very useful for statistical convergence and also is applicable to rough convergence

Ideal Convergent Sequence Spaces with Respect to Invariant Mean and a Musielak-Orlicz Function Over n-Normed Spaces

In the present paper we defined I-convergent sequence spaces with respect to invariant mean and a Musielak-Orlicz function M = (M_k) over n-normed spaces. We also make an effort to study some topological properties and prove some inclusion relation between these spaces

On Fuzzy Modular Spaces

The concept of fuzzy modular space is first proposed in this paper. Afterwards, a Hausdorff topology induced by a β-homogeneous fuzzy modular is defined and some related topological properties are also examined. And then, several theorems on μ-completeness of the fuzzy modular space are given. Finally, the well-known Baire’s theorem and uniform limit theorem are extended to fuzzy modular spaces

Approximation Theory and Related Applications

In recent years, we have seen a growing interest in various aspects of approximation theory. This happened due to the increasing complexity of mathematical models that require computer calculations and the development of the theoretical foundations of the approximation theory. Approximation theory has broad and important applications in many areas of mathematics, including functional analysis, differential equations, dynamical systems theory, mathematical physics, control theory, probability theory and mathematical statistics, and others. Approximation theory is also of great practical importance, as approximate methods and estimation of approximation errors are used in physics, economics, chemistry, signal theory, neural networks and many other areas. This book presents the works published in the Special Issue "Approximation Theory and Related Applications". The research of the world’s leading scientists presented in this book reflect new trends in approximation theory and related topics

MS FT-2-2 7 Orthogonal polynomials and quadrature: Theory, computation, and applications

Quadrature rules find many applications in science and engineering. Their analysis is a classical area of applied mathematics and continues to attract considerable attention. This seminar brings together speakers with expertise in a large variety of quadrature rules. It is the aim of the seminar to provide an overview of recent developments in the analysis of quadrature rules. The computation of error estimates and novel applications also are described