Relevant bibliographies by topics / Sequences, Series, Summability

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  4. Conference papers

Academic literature on the topic 'Sequences, Series, Summability'

Author: Grafiati
Published: 4 June 2021
Last updated: 30 January 2023

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Journal articles on the topic "Sequences, Series, Summability"

1

Yildiz, Sebnem. "An absolute matrix summability of infinite series and Fourier series." Boletim da Sociedade Paranaense de Matemática 38, no. 7 (October 14, 2019): 49–58. http://dx.doi.org/10.5269/bspm.v38i7.46594.

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The aim of this paper is to generalize a main theorem concerning weighted mean summability to absolute matrix summability which plays a vital role in summability theory and applications to the other sciences by using quasi-$f$-power sequences.
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2

Özarslan, H. S. "On a new application of quasi power increasing sequences." Carpathian Mathematical Publications 11, no. 1 (June 30, 2019): 152–57. http://dx.doi.org/10.15330/cmp.11.1.152-157.

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In the present paper, absolute matrix summability of infinite series has been studied. A new theorem concerned with absolute matrix summability factors, which generalizes a known theorem dealing with absolute Riesz summability factors of infinite series, has been proved under weaker conditions by using quasi $\beta$-power increasing sequences. Also, a known result dealing with absolute Riesz summability has been given.
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3

Bor, Hüseyin. "On quasi-monotone sequences and their applications." Bulletin of the Australian Mathematical Society 43, no. 2 (April 1991): 187–92. http://dx.doi.org/10.1017/s0004972700028951.

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In this paper using δ-quasi-monotone sequences a theorem on summability factors of infinite series, which generalises a theorem of Mazhar [7] on |C, 1|k summability factors of infinite series, is proved. Also we apply the theorem to Fourier series.
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4

Karakaş, Ahmet. "A new application of almost increasing sequences." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 18, no. 1 (December 1, 2019): 59–65. http://dx.doi.org/10.2478/aupcsm-2019-0005.

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Abstract In this paper, a known result dealing with | ̄N, pn|k summability of infinite series has been generalized to the φ − | ̄N, pn; δ|k summability of infinite series by using an almost increasing sequence.
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5

Yıldız, Şebnem. "An application of quasi-monotone sequences to absolute matrix summability." Filomat 32, no. 10 (2018): 3709–15. http://dx.doi.org/10.2298/fil1810709y.

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Recently, Bor [5] has obtained two main theorems dealing with |?N,pn|k summability factors of infinite series and Fourier series. In the present paper, we have generalized these theorems for |A,?n|k summability method by using quasi-monotone sequences.
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6

Bor, Hüseyin. "Almost increasing sequences and their new applications II." Filomat 28, no. 3 (2014): 435–39. http://dx.doi.org/10.2298/fil1403435b.

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7

Yanetz (Chachanashvili), Sh. "Absolute Summability Factors and Absolute Tauberian Theorems for Double Series and Sequences." gmj 6, no. 6 (December 1999): 591–600. http://dx.doi.org/10.1515/gmj.1999.591.

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Abstract Let 𝐴 and 𝐵 be the linear methods of the summability of double series with fields of bounded summability and , respectively. Let 𝑇 be certain set of double series. The condition 𝑥 ∈ 𝑇 is called 𝐵𝑏-Tauberian for 𝐴 if . Some theorems about summability factors enable one to find new 𝐵𝑏-Tauberian conditions for 𝐴 from the already known 𝐵𝑏-Tauberian conditions for 𝐴.
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8

Yıldız, Şebnem. "On the generalizations of some factors theorems for infinite series and fourier series." Filomat 33, no. 14 (2019): 4343–51. http://dx.doi.org/10.2298/fil1914343y.

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Quite recently, Bor [Quaest. Math. (doi.org/10.2989/16073606.2019.1578836, in press)] has proved a new result on weighted arithmetic mean summability factors of non decreasing sequences and application on Fourier series. In this paper, we establish a general theorem dealing with absolute matrix summability by using an almost increasing sequence and normal matrices in place of a positive non-decreasing sequence and weighted mean matrices, respectively. So, we extend his result to more general cases.
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9

Özarslan, H. S., and A. Keten. "A New Application of Almost Increasing Sequences." Annals of the Alexandru Ioan Cuza University - Mathematics 61, no. 1 (January 1, 2015): 153–60. http://dx.doi.org/10.2478/aicu-2013-0049.

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Abstract Bor has proved a main theorem dealing with | N̄ , pn|k summability factors of infinite series. In this paper, we have generalized this theorem to the φ − |A, pn|k summability factors, under weaker conditions by using an almost increasing sequence instead of a positive monotonic non-decreasing sequence.
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10

Rhoades, B. E., and Ekrem Savaş. "A summability factor theorem for absolute summability involving almost increasing sequences." International Journal of Mathematics and Mathematical Sciences 2004, no. 69 (2004): 3793–97. http://dx.doi.org/10.1155/s0161171204310173.

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Books on the topic "Sequences, Series, Summability"

1

Gentili, Graziano. Regular Functions of a Quaternionic Variable. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013.

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2

Sabbah, Claude. Introduction to Stokes Structures. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013.

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3

Fogg, N. Pytheas, S. bastien Ferenczi, Christian Mauduit, and Anne Siegel. Substitutions in Dynamics, Arithmetics and Combinatorics. Berlin: Springer-Verlag Berlin Heidelberg, 2002.

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Tromba, Anthony. A Theory of Branched Minimal Surfaces. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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5

Sandi, Klavžar, Milutinović Uroš, Petr Ciril, and SpringerLink (Online service), eds. The Tower of Hanoi – Myths and Maths. Basel: Springer Basel, 2013.

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6

(Victor), Vinnikov V., ed. Foundations of free noncommutative function theory. Providence, Rhode Island: American Mathematical Society, 2014.

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7

Invitation to classical analysis. Providence, R.I: American Mathematical Society, 2012.

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8

Zaslavski, Alexander J., and Simeon Reich. Infinite products of operators and their applications: A research workshop of the Israel Science Foundation : May 21-24, 2012, Haifa, Israel : Israel mathematical conference proceedings. Providence, Rhode Island: American Mathematical Society, 2015.

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9

Regularised integrals, sums, and traces: An analytic point of view. Providence, R.I: American Mathematical Society, 2012.

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10

Simon, Barry. Basic complex analysis. Providence, Rhode Island: American Mathematical Society, 2015.

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Book chapters on the topic "Sequences, Series, Summability"

1

Ruckle, William H. "Series summability of complete biorthogonal sequences." In Analysis of Divergence, 27–40. Boston, MA: Birkhäuser Boston, 1999. http://dx.doi.org/10.1007/978-1-4612-2236-1_3.

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2

Natarajan, P. N., and Hemen Dutta. "Summability of Double Sequences and Double Series Over Non-Archimedean Fields: A Survey." In Current Trends in Mathematical Analysis and Its Interdisciplinary Applications, 715–36. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-15242-0_18.

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Conference papers on the topic "Sequences, Series, Summability"

1

Sengul, Hacer. "Preface to the Sequences, Series, Summability." In THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5136139.

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Yıldız, Şebnem. "A new result on weighted arithmetic mean summability factors of infinite series involving almost increasing sequences." In CURRENT TRENDS IN RENEWABLE AND ALTERNATE ENERGY. Author(s), 2019. http://dx.doi.org/10.1063/1.5095129.

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