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Updated: Feb 20, 2026

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package
Published on: September 17, 2021
[Formula: see text]-statistical convergence of order α̃ for double sequences
1Faculty of Education, Harran University, Şanlıurfa, Turkey.
Abstract:
New concepts of [Formula: see text]-statistical convergence for double sequences of order α̃ and strong [Formula: see text]-Cesàro summability for double sequences of order α̃ are introduced for sequences of (complex or real) numbers. Furthermore, we give the relationship between the spaces [Formula: see text], [Formula: see text] and [Formula: see text]. Then we express the properties of strong [Formula: see text]-Cesàro summability of order β̃ which is related to strong [Formula: see text]-Cesàro summability of order α̃. Also, some relations between [Formula: see text]-statistical convergence of order α̃ and strong [Formula: see text]-Cesàro summability of order α̃ are given.
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