Article

Schur monotone decreasing sequences

Rasul GanikhodjaevFaculty of Mathematics & Mechanics, National University of Uzbekistan, UzbekistanMansoor SaburovFaculty of Science, International Islamic University, MalaysiaKhikmat SaburovFaculty of Engineering, International Islamic University Malaysia, Faculty of Science & Information Technology, Universiti Technologi Petronas, Malaysia

AIP conference proceedingsjournal2013en

ABI

Abstract

In this paper, we introduce Schur monotone decreasing sequences in an n-dimensional space by considering a majorization pre-order. By means of down arrow mappings, we study omega limiting points of bounded Schur monotone decreasing sequences. We provide convergence criteria for such kinds of sequences. We prove that a Cesaro mean (or an arithmetic mean) of any bounded Schur monotone decreasing sequences converges to a unique limiting point.

Topics

Mathematical Inequalities and Applications Optimization and Variational Analysis Approximation Theory and Sequence Spaces

Identifiers

DOI: 10.1063/1.4823885

Citations and references

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