Results 21 to 30 of about 86,577,496 (251)
On Absolute q-Cesàro Summability Methods for Double Sequences
MathematicsIn the present paper, a novel absolute summability method, denoted by |Cq,θ|s, is introduced for double sequences via the q-Cesàro matrix. The study also focuses on determining the necessary and sufficient conditions for various inclusion relations, as ...
Fadime Gökçe
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q-Matrix Summability Methods [PDF]
, 2011 ABSTRACT: In this thesis, we mainly focus on q-analogs of matrix methods such as Cesaro, Holder, Euler and Hausdorff methods. A summability method which is generated by an infinite matrix is called a matrix method. As it is well known the first order Cesaro summability method (C, 1), which is generated by the Cesaro matrix of order one, plays an ...
Bekar, Şerife
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Oscillation Criteria for Matrix Hamiltonian Systems via the Summability Method
Rocky Mountain Journal of Mathematics, 2009 By using the summability method and Riccati transformation, the author studies the oscillation of the following linear matrix Hamiltonian system \[ \begin{cases} X'=A(t)X+B(t)U,\\ U'=C(t)X-A^{*}(t)U, \;t\geq0. \end{cases} \] Some new oscillation criteria are established, which improve and generalize some known results of \textit{G. J. Butler, H.
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Characterizations of summability methods derived by q-Cesàro matrix
Dera Natung Government College Research JournalThe present study mainly aims to introduce the absolute summability method derived from the transformation matrix obtained by the -Cesàro matrix and to establish the necessary and sufficient conditions for and where In addition, by obtaining new results for certain specific situations, the importance of using the - analogue concept in ...
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, 2022 In this paper, we introduce and investigate the concept of AIK-summability as an extension of AI∗-summability which was recently (2021) introduced by O.H.H.~Edely, where A=(ank)∞n,k=1 is a non-negative regular matrix and I and K represent two non-trivial
Chiranjib Choudhury +3 more
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Summability domains of matrix methods
Monatshefte f�r Mathematik, 1969 David F Dawson
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Orlicz–Pettis Theorem through Summability Methods [PDF]
, 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 ...
Antonio Sala +5 more
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Doubly Iterated Matrix Methods of Summability [PDF]
Proceedings of the American Mathematical Society, 1961 { Cnk } n The matrix A is said to be regular if every convergent sequence is summable-A to its natural limit; for this the requirements on the aik are the celebrated Silverman-Toeplitz conditions [1, p. 64]. The idea of the present paper derives from the appeal to replace the application of the natural limit in (1) in both instances by summability-A ...
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A Generalized Theorem on Double Absolute Factorable Matrix Summability [PDF]
, 2022 In this paper, we generalize a new result on absolute index double matrix summability. Dealing with $|A|_k$-summability, Sava\c{s} and Rhoades [E. Sava\c{s} and B. E. Rhoades, Nonlinear Anal.
Sonker, Smita +3 more
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Approximation of Analytic Functions by Universal Vallee-Poussin Sums on the Chebyshev Polynomials
Известия Иркутского государственного университета: Серия "Математика", 2018 As it is known, Chebyshev polynomials provide the best uniform approach of a function. They are a special case of Faber polynomials. A. I. Shvay (1973) proved that the Vallee-Poussin sums are the best approach apparatus in comparison with the partial ...
L.K. Dodunova, A.A. Ageikin
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