Get Convergence Methods for Double Sequences and Applications PDF

By Mohammad Mursaleen,S. A. Mohiuddine

This ebook solely bargains with the research of virtually convergence and statistical convergence of double sequences. The thought of “almost convergence” may be the main invaluable inspiration which will receive a vulnerable restrict of a bounded non-convergent series. there's one other idea of convergence referred to as the “statistical convergence”, brought by means of H. quickly, that's an extension of the standard proposal of sequential limits. this idea arises to illustrate of “convergence in density” that is additionally studied as a summability approach. Even unbounded sequences should be handled by utilizing this technique. The ebook additionally discusses the functions of those non-matrix equipment in approximation thought. Written in a self-contained kind, the publication discusses intimately the tools of virtually convergence and statistical convergence for double sequences in addition to purposes and compatible examples. The final bankruptcy is dedicated to the research convergence of double sequence and describes a number of convergence checks analogous to these of unmarried sequences. as well as functions in approximation conception, the consequences are anticipated to discover software in lots of different components of natural and utilized arithmetic reminiscent of mathematical research, likelihood, mounted aspect idea and statistics.

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Convergence Methods for Double Sequences and Applications by Mohammad Mursaleen,S. A. Mohiuddine

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