[HTML][HTML] Schröder–Catalan Matrix and Compactness of Matrix Operators on Its Associated Sequence Spaces

S Erdem - Symmetry, 2024 - mdpi.com
In this article, the regular Schröder–Catalan matrix is constructed and acquired by benefiting
Schröder and Catalan numbers. After that, two sequence spaces are introduced, described …

Motzkin Sequence Spaces and Motzkin Core

S Erdem, S Demiriz, A Şahin - Numerical Functional Analysis and …, 2024 - Taylor & Francis
In the current work, it is constructed the Motzkin matrix obtained by using Motzkin numbers
M=(m rs) and is examined the sequence spaces c (M) and c 0 (M) described as the domain …

Oresme Numbers and Associated BK-Sequence Spaces

S Erdem, S Demiriz - Iranian Journal of Science, 2024 - Springer
The aim of this research is to present the formulation of a new conservative matrix operator
containing non-integer Oresme numbers, to obtain new BK-sequence spaces with the help …

Mersenne Matrix Operator and Its Application in Summable Sequence Space

S Demiriz, S Erdem - Communications in Advanced Mathematical …, 2024 - dergipark.org.tr
In this study, it is introduced the regular Mersenne matrix operator which is obtained by
using Mersenne numbers and examined sequence spaces described as the domain of this …

Some algebraic and topological properties of new Lucas difference sequence spaces

HB Ellidokuzoğlu, S Demiriz - Turkish Journal of Mathematics and …, 2018 - dergipark.org.tr
Karakaş and Karabudak 14, introduced the Lucas sequence spaces X(E) and studied their
some properties. The main purpose of this study is to introduce the Lucas difference …

Lucas Difference Sequence Spaces and

HB ELLİDOKUZOĞLU, S DEMİRİZ - Book of Abstracts - acikerisim.bartin.edu.tr
Define the sequence of Fibonacci numbers and define the sequence of Lucas numbers
given by the linear recurrence relations Fibonacci and Lucas numbers have many …

Compact operators on the Motzkin sequence space

S Erdem - Journal of New Results in Science, 2024 - dergipark.org.tr
The concept of non-compactness measure is extremely beneficial for functional analysis in
theories, such as fixed point and operator equations. Apart from these, the Hausdorff …