Absolute Summability by Series-to-Sequence Transformation Matrices

M. B. Zaman

Absolute Summability by Series-to-Sequence Transformation Matrices

Abstract

n this paper we define an absolute summability by a series-to-sequence transfor mation matrix. We obtain tbe necessary and sufficient conditions in order that every absolutely convergent series is absolutely summable by series-to-sequence transfor mation matrix. For this we find new classes of matrices-conservative series-to-sequence transformation matrices and regular series-to-sequence transformation matrices. We study the relation of these two new classes of matrices with K, p,T and y-matrices. Finally we prove that the absolute summability of an absolutely convergent series by a matrix and the generalized limit of its absolute partial sum are equal under the suitable relation between the two matrices.

Keywords

References

Communications, Series A2-A3: Physical Sciences and Engineering

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

M. B. Zaman This is me
Türkiye

Publication Date

January 1, 1974

Submission Date

January 1, 1974

Acceptance Date

-

Published in Issue

Year 1974 Volume: 23

IZ

https://izlik.org/JA68GS58LN

Cite

RIS / Bibtex

APA

Zaman, M. B. (1974). Absolute Summability by Series-to-Sequence Transformation Matrices. Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering, 23. https://izlik.org/JA68GS58LN

AMA

1.Zaman MB. Absolute Summability by Series-to-Sequence Transformation Matrices. Commun.Fac.Sci.Univ.Ank.Series A2-A3: Phys.Sci. and Eng. 1974;23. https://izlik.org/JA68GS58LN

Chicago

Zaman, M. B. 1974. “Absolute Summability by Series-to-Sequence Transformation Matrices”. Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering 23 (January). https://izlik.org/JA68GS58LN.

EndNote

Zaman MB (January 1, 1974) Absolute Summability by Series-to-Sequence Transformation Matrices. Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering 23

IEEE

[1]M. B. Zaman, “Absolute Summability by Series-to-Sequence Transformation Matrices”, Commun.Fac.Sci.Univ.Ank.Series A2-A3: Phys.Sci. and Eng., vol. 23, Jan. 1974, [Online]. Available: https://izlik.org/JA68GS58LN

ISNAD

Zaman, M. B. “Absolute Summability by Series-to-Sequence Transformation Matrices”. Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering 23 (January 1, 1974). https://izlik.org/JA68GS58LN.

JAMA

1.Zaman MB. Absolute Summability by Series-to-Sequence Transformation Matrices. Commun.Fac.Sci.Univ.Ank.Series A2-A3: Phys.Sci. and Eng. 1974;23. Available at https://izlik.org/JA68GS58LN.

MLA

Zaman, M. B. “Absolute Summability by Series-to-Sequence Transformation Matrices”. Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering, vol. 23, Jan. 1974, https://izlik.org/JA68GS58LN.

Vancouver

1.M. B. Zaman. Absolute Summability by Series-to-Sequence Transformation Matrices. Commun.Fac.Sci.Univ.Ank.Series A2-A3: Phys.Sci. and Eng. [Internet]. 1974 Jan. 1;23. Available from: https://izlik.org/JA68GS58LN