Results 11 to 20 of about 4,273,203 (249)
Generalized Absolute Riesz Summability of Infinite Series and Fourier Series [PDF]
International Journal of Analysis and Applications, 2020 In this paper, two known theorems dealing with $|\bar{N},p_{n}|_{k}$ summability of infinite series and Fourier series have been generalized to ${\varphi}-|\bar{N},p_{n};\beta|_{k}$ summability.
Bağdagül Kartal
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Orlicz–Pettis Theorem Through Summability Methods
Mathematics, 2019 This paper unifies several versions of the Orlicz−Pettis theorem that incorporate summability methods. We show that a series is unconditionally convergent if and only if the series is weakly subseries convergent with respect to a regular linear ...
Fernando León Saavedra +1 more
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On (J,pn) summability of Fourier series [PDF]
International Journal of Mathematics and Mathematical Sciences, 1989 In this note two theorems have been established. The first one deals with the summability (J,pn) of a Fourier series while the second on concerns with the summability of the first derived Fourier series.
S. M. Mazhar
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Absolute φ − | C , α , β ; δ | k $\varphi- \vert C, \alpha, \beta; \delta\vert _{k}$ summability of infinite series [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we established a generalized theorem on a minimal set of sufficient conditions for absolute summability factors by applying a sequence of a wider class (quasi-power increasing sequence) and the absolute Cesàro φ − | C , α , β ; δ | k ...
Smita Sonker, Alka Munjal
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On (𝑁,𝑝,𝑞)(𝐸,1) Summability of Fourier Series
International Journal of Mathematics and Mathematical Sciences, 2009 A new theorem on (𝑁,𝑝,𝑞)(𝐸,1) summability of Fourier series has been established.
H. K. Nigam, Ajay Sharma
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Invariant Summability and Unconditionally Cauchy Series [PDF]
International Journal of Analysis and Applications, 2020 In this study, we will give new characterizations of weakly unconditionally Cauchy series and unconditionally convergent series through summability obtained by the invariant convergence.
Nimet Pancaroglu Akin
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On almost (N,p,q) summability of conjugate Fourier series [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 A new theorem on almost generalized Nörlund summability of conjugate series of Fourier series has been established under a very general condition.
Shyam Lal, Hare Krishna Nigam
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Note on Product Summability of an Infinite Series [PDF]
International Journal of Mathematics and Mathematical Sciences, 2008 New results concerning product summability of an infinite series are given. Some special cases are also deduced.
W. T. Sulaiman
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On Double Summability of Double Conjugate Fourier Series [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 For the first time, a theorem on double matrix summability of double conjugate Fourier series is established.
H. K. Nigam, Kusum Sharma
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Partial best approximations and the absolute Cesaro summability of multiple Fourier series [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 The article is devoted to the problem of absolute Cesaro summability of multiple trigonometric Fourier series. Taking a central place in the theory of Fourier series this problem was developed quite widely in the one-dimensional case and the ...
S. Bitimkhan, D.T. Alibieva
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