Results 1 to 10 of about 383 (244)
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
doaj +2 more sources
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
doaj +3 more sources
A new extension on the theorem of Bor
Comptes Rendus. Mathématique, 2021 In [8], Bor has obtained a main theorem dealing with Riesz summability factors of infinite series and Fourier series. In this paper, we generalized that theorem to $|A,\theta _{n}|_{k}$ summability method for taking power increasing sequence.
Yıldız, Şebnem
doaj +1 more source
A Study on Generalized Absolute Matrix Summability
Cumhuriyet Science Journal, 2022 In the present paper, generalized absolute matrix summability method of infinite series has been studied. A known theorem on IMI ,summability method has been generalized using the summability method of infinite series.
Ahmet Karakaş
doaj +1 more source
A new note on factored infinite series and trigonometric Fourier series
Comptes Rendus. Mathématique, 2021 In this paper, we have proved two main theorems under more weaker conditions dealing with absolute weighted arithmetic mean summability factors of infinite series and trigonometric Fourier series.
Bor, Hüseyin
doaj +1 more source
Borel Summability and Lindstedt Series [PDF]
Communications in Mathematical Physics, 2006 Resonant motions of integrable systems subject to perturbations may continue to exist and to cover surfaces with parametric equations admitting a formal power expansion in the strength of the perturbation. Such series may be, sometimes, summed via suitable sum rules defining $C^\infty$ functions of the perturbation strength: here we find sufficient ...
O. COSTIN +3 more
openaire +4 more sources
Pythagorean harmonic summability of Fourier series
Demonstratio Mathematica, 2021 This paper explores the possibility for summing Fourier series nonlinearly via the Pythagorean harmonic mean. It reports on new results for this summability with the introduction of new concepts like the smoothing operator and semi-harmonic summation ...
Haidar Nassar H. S.
doaj +1 more source
On |A|k summability factors of infinite series; pp. 201–206 [PDF]
Proceedings of the Estonian Academy of Sciences, 2010 In an earlier paper (Rhoades, B. E. and SavaÅ, E. Some necessary conditions for absolute matrix summability factors. Indian J. Pure Appl. Math., 2002, 33(7), 1003â1009) the authors obtained necessary conditions for the series â an to be absolutely ...
B. E. Rhoades, Ekrem Savaş
doaj +1 more source
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 +2 more
doaj +1 more source
On a new application of quasi power increasing sequences
Karpatsʹkì Matematičnì Publìkacìï, 2019 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,
H.S. Özarslan
doaj +1 more source