Results 21 to 30 of about 325 (259)
On Multipliers for the Absolute Matrix Summability
Journal of Mathematical Analysis and Applications, 1995 Let \((a_{n, k})\) be a triangular matrix with \(a_{n,k}\geq 0\), \(\sum^ n_{r= 0} a_{n, r}= 1\), \(a_{n- 1,k}\geq (1+ a_{n, 0}) a_{n,k+ 1}\), \(0\leq k< n\), \(n\geq 1\) and satisfying \(\sum^ \infty_{n= k} {A_{n,n- k}\over n+ 1}\leq C\) for every \(k\), \(\sum^{n- 1}_{k= 1} | \Delta_ k a_{n, k}|= O(1/n)\), \(\sum^{n- 2}_{k= 0} (k+ 1)| \Delta^ 2_ k a_{
Mittal, M.L., Kumar, R.
openaire +1 more source
Statistical weighted A-summability with application to Korovkin’s type approximation theorem
Journal of Inequalities and Applications, 2016 We introduce the notion of statistical weighted A-summability of a sequence and establish its relation with weighted A-statistical convergence. We also define weighted regular matrix and obtain necessary and sufficient conditions for the matrix A to be ...
Syed Abdul Mohiuddine
doaj +1 more source
A NEW APPLICATION OF ABSOLUTE MATRIX SUMMABILITY
Mathematical Sciences and Applications E-Notes, 2015 The summability of a matrix \( A = (a_{n vu}) \) is studied. The main result states that if \( A \) is a positive normal matrix and if some conditions are satified, then the series \( \sum a_{n}\lambda_{n}\) are summable \( | A, p_{n}|_{k} \), \( k \geq 1 \).
ÖZARSLAN, Hikmet Seyhan +1 more
openaire +8 more sources
A bounded consistency theorem for strong summabilities
International Journal of Mathematics and Mathematical Sciences, 1989 The study of R-type summability methods is continued in this paper by showing that two such methods are identical on the bounded portion of the strong summability field associated with the methods.
C. S. Chun, A. R. Freedman
doaj +1 more source
Quantum graphs with summable matrix potentials
Доклады Академии наук, 2019 Let G be a metric, finite, noncompact, and connected graph with finitely many edges and vertices. Assume also that the length at least of one of the edges is infinite. The main object of the paper is Hamiltonian Hα associated in L2(G; Cm) with matrix Sturm-Liouville’s expression and boundary delta-type conditions at each vertex.
Granovskyi Y.I. +2 more
openaire +4 more sources
Axioms, 2018 In this paper, using an infinite matrix of complex numbers, a modulus function and a lacunary sequence, we generalize the concept of I -statistical ...
Ömer Kişi +2 more
doaj +1 more source
Approximation of Signals (Functions) by Trigonometric Polynomials in Lp-Norm
International Journal of Mathematics and Mathematical Sciences, 2014 Mittal and Rhoades (1999, 2000) and Mittal et al. (2011) have initiated a study of error estimates En(f) through trigonometric-Fourier approximation (tfa) for the situations in which the summability matrix T does not have monotone rows.
M. L. Mittal, Mradul Veer Singh
doaj +1 more source
Summability methods based on the Riemann Zeta function
International Journal of Mathematics and Mathematical Sciences, 1988 This paper is a study of summability methods that are based on the Riemann Zeta function. A limitation theorem is proved which gives a necessary condition for a sequence x to be zeta summable.
Larry K. Chu
doaj +1 more source
Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
ON MATRIX SUMMABILITY OF JACOBI SERIES
Tamkang Journal of Mathematics, 1999 In this paper a new theorem on Matrix Summability of Jacobi series is established This theorem is a generalization of several known and unknown results.
openaire +3 more sources