On quasi statistical convergence in gradual normed linear spaces

During the last few years, enormous works by different researchers have been carried out in summability theory by linking different notions of convergence of sequences. In the present paper, we introduce the concept of quasi statistical convergence and strong quasi statistical summability in gradual normed linear spaces. We investigate some of its basic properties and the interrelationship between the newly introduced notions. It has been observed that every gradual quasi statistical convergent sequence is gradual quasi statistical bounded but not necessarily gradual bounded. Finally, we introduce the concept of gradual quasi statistical Cauchy sequences and show that every gradual quasi statistical convergent sequence is a gradual quasi statistical Cauchy sequence.Publisher's Versio

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