A note on cosine series with coefficients of generalized bounded variation
-
Bhikha Lila Ghodadra
and
Vanda Fülöp
Abstract
In this note, we obtain a Tauberian theorem for a class of regular lower triangular matrices operating on cosine series with coefficients tending to zero. As corollaries we obtain Tauberian theorems for weighted mean, Nörlund, and Hausdorff matrices.
This research was completed while the first author was under a visit of Bolyai Institute, University of Szeged, Szeged, Hungary, under the Hungarian State Scholarship Grant Award during the academic year 2016–2017 between May 16, 2017 to June 15, 2017. For the second author Ministry of Human Capacities, Hungary grant 20391-3/2018/FEKUSTRAT is acknowledged and the research was supported also by the Nemzeti Kutatási Fejlesztési és Innovációs Hivatal’ NKFIH, Grant No. K115383.
Communicated by Tomasz Natkaniec
References
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© 2020 Mathematical Institute Slovak Academy of Sciences
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Articles in the same Issue
- Regular papers
- Recurrences for the genus polynomials of linear sequences of graphs
- The existence of states on EQ-algebras
- On sidon sequences of farey sequences, square roots and reciprocals
- Repdigits as sums of three balancing numbers
- Lipschitz one sets modulo sets of measure zero
- Refinement of fejér inequality for convex and co-ordinated convex functions
- An extension of q-starlike and q-convex error functions endowed with the trigonometric polynomials
- Coefficients problems for families of holomorphic functions related to hyperbola
- Triebel-Lizorkin capacity and hausdorff measure in metric spaces
- The method of upper and lower solutions for integral boundary value problem of semilinear fractional differential equations with non-instantaneous impulses
- On a system of three difference equations of higher order solved in terms of Lucas and Fibonacci numbers
- Density of summable subsequences of a sequence and its applications
- Rough weighted 𝓘-limit points and weighted 𝓘-cluster points in θ-metric space
- A note on cosine series with coefficients of generalized bounded variation
- Some geometric properties of the non-Newtonian sequence spaces lp(N)
- On sequence spaces defined by the domain of a regular tribonacci matrix
- Jointly separating maps between vector-valued function spaces
- Some fixed point theorems for multi-valued mappings in graphical metric spaces
- Monotone transformations on the cone of all positive semidefinite real matrices
- Locally defined operators in the space of Ck,ω-functions
- Some properties of D-weak operator topology
- Estimating the distribution of a stochastic sum of IID random variables
- An internal characterization of complete regularity
