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010 a| 2014932267;

020 a| 9783319046082 (pbk. : alk. paper);

020 a| 331904608X (pbk. : alk. paper);

020 a| 3319046098 (ebk.);

020 a| 9783319046099 (elbk.);

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050 00 a| QA292b| .M877 2014;

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100 1 a| Mursaleen, M.=| ^A1257901;

245 10 a| Applied summability methodsh| [electronic resource] /c| M. Mursaleen.;

260 a| Cham ;a| New York :b| Springer,c| [2014];

300 a| x, 124 pages :b| illustrations ;c| 23 cm;

490 1 a| SpringerBriefs in mathematics;

504 a| Includes bibliographical references (pages 119-122) and index.;

505 0 a| 1. Toeplitz matrices -- 2. Lambert summability and the prime number theorem -- 3. Summability tests for singular points -- 4. Lototski summability and analytic continuation -- 5. Summability methods for random variables -- 6. Almost summability -- 7. Almost summability of Taylor series -- 8. Matrix summability of Fourier and Walsh-Fourier series -- 9. Almost convergence in approximation process -- 10. Statistical summability -- 11. Statistical approximation -- 12. Applications to fixed point theorems.;

506 a| Available only to authorized users.;

520 3 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. --c| Source other than Library of Congress.;

538 a| Mode of access: World Wide Web;

650 0 a| Summability theory.=| ^A48814;

650 0 a| Matrices.=| ^A19840;

650 7 a| Matrices.2| fast0| (OCoLC)fst01012399;

650 7 a| Summability theory.2| fast0| (OCoLC)fst01138488;

655 0 a| Electronic books.=| ^A491897;

830 0 a| SpringerBriefs in mathematics.=| ^A1256596;

856 40 z| Full text available from Springer Booksu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Flink.springer.com%2F10.1007%2F978-3-319-04609-9;

856 40 z| Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2014 English Internationalu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Flink.springer.com%2F10.1007%2F978-3-319-04609-9;

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Applied summability methods / M. Mursaleen.

Author/creator	Mursaleen, M.
Format	Electronic
Publication Info	Cham ; New York : Springer, [2014]
Description	x, 124 pages : illustrations ; 23 cm
Supplemental Content	Full text available from Springer Books
Supplemental Content	Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2014 English International
Subjects	Summability theory. Matrices.

Series	SpringerBriefs in mathematics SpringerBriefs in mathematics. ^A1256596
Contents	1. Toeplitz matrices -- 2. Lambert summability and the prime number theorem -- 3. Summability tests for singular points -- 4. Lototski summability and analytic continuation -- 5. Summability methods for random variables -- 6. Almost summability -- 7. Almost summability of Taylor series -- 8. Matrix summability of Fourier and Walsh-Fourier series -- 9. Almost convergence in approximation process -- 10. Statistical summability -- 11. Statistical approximation -- 12. Applications to fixed point theorems.
Summary	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. -- Source other than Library of Congress.
Bibliography note	Includes bibliographical references (pages 119-122) and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2014932267
ISBN	9783319046082 (pbk. : alk. paper)
ISBN	331904608X (pbk. : alk. paper)
ISBN	3319046098 (ebk.)
ISBN	9783319046099 (elbk.)

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Applied summability methods / M. Mursaleen.

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