In this paper, we introduce the concepts of ideal∆ α− lacunary statis-tical convergence of
order β with the fractional order of α and ideal∆ α− lacunary strongly convergence of order β …

Certain Geometric Properties and Matrix Transformations on a Newly Introduced Banach
Space Page 1 Fundamental Journal of Mathematics and Applications, 3 (1) (2020) 45-51 …

This paper is devoted to investigate the modular structure of a fractional Banach set of
sequences and prove that this set is reflexive and convex and it possesses uniform Opial …

A new Banach sequence space established by using Lucas sequences and nonzero real
numbers and is presented. At the same time, some inclusion relations are given and also …

In this work, we define Orlicz–Euler double sequence space E φ r, s and Orlicz–Taylor
double sequence space, T φ r, s and obtain certain inclusion results related to these spaces …

In this paper, we introduce generalized difference weak sequence space classes by utilizing
the difference operator Δ ı ȷ and the de la Vallée–Poussin mean, denoted as [(V, λ) w, Δ ı ȷ] …

A New Difference Sequence Set of Order α and Its Geometrical Properties - Et - 2014 - Abstract
and Applied Analysis - Wiley Online Library Skip to Article Content Skip to Article Information …

Studies on difference sequences was introduced in the 1980s and then many
mathematicians studied on these kind of sequences and obtained some generalized …

The aim of this paper is to introduce a generalized modular sequence space of Norlund type
defined by de la Vallee-Poussin mean and study some of its topological and geometric …

On the Lucas Difference Sequence Spaces Defined by Modulus Function Page 1 Applications and
Applied Mathematics: An International Journal (AAM) Volume 14 Issue 1 Article 15 6-2019 On the …