Convergence Methods for Double Sequences and Application
نام عام مواد
[Book]
نام نخستين پديدآور
/ electronic resource
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
New Delhi
نام ناشر، پخش کننده و غيره
: Springer India :Imprint: Springer,
تاریخ نشرو بخش و غیره
, 2014.
مشخصات ظاهری
نام خاص و کميت اثر
IX, 171 s. , online resource..
يادداشت کلی
متن يادداشت
9788132216100.
یادداشتهای مربوط به نشر، بخش و غیره
متن يادداشت
Electronic
یادداشتهای مربوط به مندرجات
متن يادداشت
Summary: This book exclusively deals with the study of almost convergence and statistical convergence of double sequences. The notion of @201Calmost convergence@201D is perhaps the most useful notion in order to obtain a weak limit of a bounded non-convergent sequence. There is another notion of convergence known as the @201Cstatistical convergence@201D, introduced by H. Fast, which is an extension of the usual concept of sequential limits. This concept arises as an example of @201Cconvergence in density@201D which is also studied as a summability method. Even unbounded sequences can be dealt with by using this method. The book also discusses the applications of these non-matrix methods in approximation theory. Written in a self-contained style, the book discusses in detail the methods of almost convergence and statistical convergence for double sequences along with applications and suitable examples. The last chapter is devoted to the study convergence of double series and describes various convergence tests analogous to those of single sequences. In addition to applications in approximation theory, the results are expected to find application in many other areas of pure and applied mathematics such as mathematical analysis, probability, fixed point theory and statistics.
متن يادداشت
Chapter 1: Almost and statistical convergence of ordinary sequences: A preview -- Chapter 2: Almost convergence of double sequences -- Chapter 3: Almost regular matrices -- Chapter 4: Absolute almost convergence of double sequences -- Chapter 5: Almost convergence and core theorems -- Chapter 6: Application of almost convergence in approximation theorems for functions of two variables -- Chapter 7: Statistical convergence of double sequences -- Chapter 8: Statistical approximation of positive linear operators -- Chapter 9: Double series and convergence tests -- References.
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Mathematics
موضوع مستند نشده
Global analysis (Mathematics)
موضوع مستند نشده
Sequences (Mathematics)
موضوع مستند نشده
Mathematics
موضوع مستند نشده
Sequences, Series, Summability
موضوع مستند نشده
Approximations and Expansions
موضوع مستند نشده
Analysis
رده بندی کنگره
شماره رده
E-BOOK
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )