Results 1 to 10 of about 4,067 (192)

Rotationally Symmetric Lacunary Functions and Products of Centered Polygonal Lacunary Functions [PDF]

open access: yesFractal and Fractional, 2020
This work builds upon previous studies of centered polygonal lacunary functions by presenting proofs of theorems showing how rotational and dihedral mirror symmetry manifest in these lacunary functions at the modulus level.
L. K. Mork   +3 more
doaj   +2 more sources

On Modulated Lacunary Statistical Convergence of Double Sequences

open access: yesMathematics, 2023
In earlier works, F. León and coworkers discovered a remarkable structure between statistical convergence and strong Cesàro convergence, modulated by a function f (called a modulus function).
María del Pilar Romero de la Rosa
doaj   +3 more sources

Centered Polygonal Lacunary Graphs: A Graph Theoretic Approach to p-Sequences of Centered Polygonal Lacunary Functions [PDF]

open access: yesMathematics, 2019
This work is on the nature and properties of graphs which arise in the study of centered polygonal lacunary functions. Such graphs carry both graph-theoretic properties and properties related to the so-called p-sequences found in the study of centered ...
Keith Sullivan   +2 more
doaj   +2 more sources

Lacunary sequence spaces defined by Musielak-Orlicz function

open access: yesLe Matematiche, 2013
In this paper we introduce lacunary sequence spaces defined by a Musielak-Orlicz function M = (M_k) and a sequence of modulus functions F = (f_k). We also make an effort to study some topological properties and inclusion relations between these spaces.
Kuldip Raj, Sunil K. Sharma
doaj   +2 more sources

Application of f-lacunary statistical convergence to approximation theorems [PDF]

open access: yesJournal of Inequalities and Applications, 2018
The concept of f-lacunary statistical convergence which is, in fact, a generalization of lacunary statistical convergence, has been introduced recently by Bhardwaj and Dhawan (Abstr. Appl. Anal. 2016:9365037, 2016).
Vinod K Bhardwaj, Shweta Dhawan
doaj   +2 more sources

The Existence, Uniqueness And Upper Bounds For Errors Of Six Degree Spline Interpolating The Lacunary Data (0,2,5) [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2010
The object of this paper is to obtain the existence, uniqueness and upper bounds for errors of six degree spline interpolating the lacunary data (0,2,5).
Abbas Al-Bayati   +2 more
doaj   +1 more source

New Construction and New Error Bounds for (0, 2, 4) Lacunary Interpolation By Six Degree Spline [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2011
The object of this paper obtains the existence, uniqueness and upper bounds for errors of six degree splines interpolating the lacunary data (0, 2, 4). We also show that the changes of  the boundary conditions and the class of spline functions has a main
Karwan Jwamer, Ridha Karem
doaj   +1 more source

Taming the Natural Boundary of Centered Polygonal Lacunary Functions—Restriction to the Symmetry Angle Space

open access: yesMathematics, 2020
This work investigates centered polygonal lacunary functions restricted from the unit disk onto symmetry angle space which is defined by the symmetry angles of a given centered polygonal lacunary function. This restriction allows for one to consider only
Leah K. Mork   +2 more
doaj   +1 more source

TOMIC FUNCTIONS AND LACUNARY INTERPOLATION SERIES IN BOUNDARY VALUE PROBLEMS FOR PARTIAL DERIVATIVES EQUATIONS AND IMAGE PROCESSING

open access: yesРадіоелектронні і комп'ютерні системи, 2020
In the paper we consider and solve the problem of construction of the so called tomic functions – the systems of infinitely differentiable  functions which while retaining many important properties of the shifts of atomic function up(x) such as locality ...
Volodimir Olexijovych Rvachov   +2 more
doaj   +1 more source

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