absolute summability
A Recent Note on Quasi Power Increasing Sequence for Generalized Absolute Summability
... Flett, “Some more theorems concerning the absolute summability of Fourier series and power series,” Proceedings of the London Mathematical Society, vol.. Arendelovic, “O-regularly varyin[r] ...
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Some Equivalence Theorems on Absolute Summability Methods
... Riesz mean; absolute summability; H¨ older inequality; equivalence theorem; Minkowski inequality; infinite series; sequence space.. 2017 Authors retain the copyrights of their papers, an[r] ...
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Characterization on some absolute summability factors of infinite series
... A general theorem concerning some absolute summability factors of infinite series is proved.. This theorem characterizes as well as generalizes our previous result [4].[r] ...
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On inclusion relations for absolute summability
... Rhoades: Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA E-mail address: [email protected] Ekrem Savaş: Department of Mathematics, Yüzüncü Yil Universit[r] ...
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Generalization of some absolute summability methods
... Here we prove two theorems, the first concerns the sufficient conditions and the second the necessary conditions satisfied by n in order to have an n summable |N̄, pn |k whenever an is s[r] ...
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A study of some new absolute summability methods
... Follows from the theorem by putting q, 1, o, P./p, and g,, The following four results follows from Corollary 3 and they are generalizations for the results of.. anon are summable.[r] ...
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2. On the generalized absolute summability factors of infinite series
... In this paper, we generalize a known result concerning the absolute Riesz summability factors of infinite series.. Summability factors; sequences; infinite series; H¨ older inequality; M[r] ...
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A generalization theorem covering many absolute summability methods
... Necessity of i: using the result of Bor in [2], the transformation from Xn into Yn maps &k into &k and hence the diagonal elements of this transformation are bounded by Lemma 3.1 and s[r] ...
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On absolute generalized Norlund summability of double orthogonal series
... Abstract. In the paper [Y. Okuyama, On the absolute generalized N¨ orlund summability of orthogonal series, Tamkang J. Math. Vol. 33, No. 2, (2002), 161-165] the author has found some sufficient conditions ...
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A Note on Generalized Indexed Norlund Summability Factor of an Infinite Series
... In 1930, J.M.Whittaker [18] was the 1st to establish a result on the absolute summability of Fourier series and in 1932, M. Fekete [6] established a result on generalized indexed summability. Later ...
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A Note on Summability Factors for Infinite Series
... Bor, “A note on | N, pn |k summability factors of infinite series,” Indian Journal of Pure and Applied Mathematics, vol.. Flett, “On an extension of absolute summability and some theorem[r] ...
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Note on Product Summability of an Infinite Series
... Flett, “On an extension of absolute summability and some theorems of Littlewood and Paley,” Proceedings of the London Mathematical Society, vol.. Das, “Tauberian theorems for absolute No[r] ...
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Notes on Summability Factors of Infinite Series
... Sulaiman, “Extension on absolute summability factors of infinite series,” Journal of Mathematical Analysis and Applications, vol.. Sharma, “On N, p, q summability factors of infinite ser[r] ...
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2. On quasi-power increasing sequences general contractive condition of integral type
... Leindler, On the absolute summability factors of infinite series involving quasi-power increasing sequences , Computers and mathematics with applications 57 (2009) 702–709. [5] W.T[r] ...
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A Note on Generalized Summability Factors for Infinite Series
... Şevli, “A recent note on quasi-power increasing sequence for generalized absolute summability,” Journal of Inequalities and Applications, vol.. Saxena, “A note on summability factors fo[r] ...
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Generalization of the space \(l(p)\) derived by absolute Euler summability and matrix operators
... the absolute summability method of Euler matrix and show that this space is linearly isomorphic to the space ...the summability |A, φ n |(p), we can write ...
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On General Summability Factor Theorems
... Savaş, “On inclusion relations for absolute summability,” International Journal of Mathematics and Mathematical Sciences, vol.. Ekrem Savaş: Department of Mathematics, Faculty of Scien[r] ...
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A Note on Absolute Cesaro $\varphi-|C, 1; \delta; l|_k$ Summability Factor
... motivation for the researchers, interested in theoretical studies of an infinite series. Further, this study has a number of direct applications in rectification of signals in FIR filter (Finite impulse response filter) ...
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A generalization of a theorem of Bor
... 6 Conclusions In this study, we have generalized a well-known theorem dealing with an absolute summability method to a ϕ – |T, pn |k summability method of an infinite series by using almo[r] ...
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Factors for Absolute Weighted Arithmetic Mean Summability of Infinite Series
... In this paper, we proved a general theorem dealing with absolute weighted arithmetic mean summability factors of infinite series under weaker conditions.. We have also obtained some know[r] ...
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