Functional sequences and series (in Ukrainian)
Mykhaylo Sukhorolsky
TL;DR
This paper explores the theory of functional sequences and series, including various modes of convergence, and develops a sequential approach for constructing generalized methods for series summation and solutions in mathematical physics.
Contribution
It introduces a sequential approach to generalized series summation and solutions, expanding the theoretical framework for functional sequences in mathematical physics.
Findings
Analysis of different convergence modes for functional sequences and series
Development of generalized methods for series summation
Application of sequential approach to problems in mathematical physics
Abstract
The theory of the functional sequences and series is presented; uniformly convergent, convergent in the sense of a mean square and weakly convergent sequences and series are considered. Sequential approach to constructing generalized methods of series summarizing and generalized solutions of the problems of mathematical physics is developed
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Taxonomy
TopicsIterative Methods for Nonlinear Equations · Approximation Theory and Sequence Spaces