Cargando…

Applied Summability Methods

This short monograph is the first book to focus exclusively on the study of summability methods, which have become active areas of research in recent years. The book provides basic definitions of sequence spaces, matrix transformations, regular matrices and some special matrices, making the material...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Mursaleen, M. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:SpringerBriefs in Mathematics,
Temas:
Acceso en línea:Texto Completo

MARC

LEADER 00000nam a22000005i 4500
001 978-3-319-04609-9
003 DE-He213
005 20220116204931.0
007 cr nn 008mamaa
008 140327s2014 sz | s |||| 0|eng d
020 |a 9783319046099  |9 978-3-319-04609-9 
024 7 |a 10.1007/978-3-319-04609-9  |2 doi 
050 4 |a QA292 
050 4 |a QA295 
072 7 |a PBK  |2 bicssc 
072 7 |a MAT034000  |2 bisacsh 
072 7 |a PBK  |2 thema 
082 0 4 |a 515.24  |2 23 
100 1 |a Mursaleen, M.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Applied Summability Methods  |h [electronic resource] /  |c by M. Mursaleen. 
250 |a 1st ed. 2014. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2014. 
300 |a X, 124 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a SpringerBriefs in Mathematics,  |x 2191-8201 
505 0 |a Toeplitz Matrices -- Lambert Summability and the Prime Number Theorem -- Summability Tests for Singular Points -- Lototski Summability and Analytic Continuation -- Summability Methods for Random Variables -- Almost Summability -- Almost Summability of Taylor Series -- Matrix Summability of Fourier and Walsh-Fourier Series -- Almost Convergence in Approximation Process -- Statistical Summability -- Statistical Approximation -- Applications to fixed point theorems -- Bibliography -- Index. 
520 |a This short monograph is the first book to focus exclusively on the study of summability methods, which have become active areas of research in recent years. The book provides basic definitions of sequence spaces, matrix transformations, regular matrices and some special matrices, making the material accessible to mathematicians who are new to the subject. Among the core items covered are the proof of the Prime Number Theorem using Lambert's summability and Wiener's Tauberian theorem, some results on summability tests for singular points of an analytic function, and analytic continuation through Lototski summability. Almost summability is introduced to prove Korovkin-type approximation theorems and the last chapters feature statistical summability, statistical approximation, and some applications of summability methods in fixed point theorems. 
650 0 |a Sequences (Mathematics). 
650 0 |a Number theory. 
650 0 |a Algebras, Linear. 
650 1 4 |a Sequences, Series, Summability. 
650 2 4 |a Number Theory. 
650 2 4 |a Linear Algebra. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319046082 
776 0 8 |i Printed edition:  |z 9783319046105 
830 0 |a SpringerBriefs in Mathematics,  |x 2191-8201 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-319-04609-9  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)