Results 11 to 20 of about 374 (176)

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

Hervé- and Krebs-Type Magnetic Polyoxometalate Dimers

open access: yesMagnetochemistry, 2022
Lacunary polyoxometalates (POMs) are negatively charged metal–oxo clusters, formally obtained from plenary topologies via fragment removal. Owing to the fragment removal, the lacunary POMs archetypes are rich in nucleophilic terminal oxo ligands, making ...
Aleksandar Kondinski   +2 more
doaj   +1 more source

Construction of Lacunary Sextic spline function Interpolation and their Applications [PDF]

open access: yesمجلة التربية والعلم, 2010
In this paper, we consider the construction of the sextic splines function which interpolating the lacunary data. Also, under suitable conditions, we show that the existence and uniqueness of the solution. The convergence analysis of this spline function
Abbas Y. Al Bayati   +2 more
doaj   +1 more source

Some new lacunary statistical convergence with ideals

open access: yesJournal of Inequalities and Applications, 2017
In this paper, the idea of lacunary I λ $I_{\lambda}$ -statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function.
Adem Kilicman, Stuti Borgohain
doaj   +1 more source

A Triple Lacunary Generating Function for Hermite Polynomials [PDF]

open access: yesThe Electronic Journal of Combinatorics, 2005
Some of the classical orthogonal polynomials such as Hermite, Laguerre, Charlier, etc. have been shown to be the generating polynomials for certain combinatorial objects. These combinatorial interpretations are used to prove new identities and generating functions involving these polynomials.
Ira M. Gessel, Pallavi Jayawant
openaire   +3 more sources

Kolyada inequality for partial moduli of smoothness of functions with lacunary Fourier coefficients [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2022
The problem of estimating the moduli of smoothness of functions from $L_q$  in terms of moduli of smoothness from $L_p$  is well known. The initial stage in estimating the moduli of smoothness was the study of properties of functions from ...
Simonov, Boris V.   +2 more
doaj   +1 more source

Whittaker's Constant for Lacunary Entire Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1963
be an entire function of exponential type r < oo. We are concerned here with two problems which are closely related to the determination of Whittaker's constant, that is to say, with theorems to the effect that if f(z) and each of its derivatives have some zeros in the unit circle then r cannot be too small. DEFINITION 1. The constant Wp is the largest
openaire   +1 more source

Exploration of Filled-In Julia Sets Arising from Centered Polygonal Lacunary Functions

open access: yesFractal and Fractional, 2019
Centered polygonal lacunary functions are a particular type of lacunary function that exhibit properties which set them apart from other lacunary functions. Primarily, centered polygonal lacunary functions have true rotational symmetry.
L.K. Mork   +4 more
doaj   +1 more source

Strongly Lacunary Ward Continuity in 2-Normed Spaces

open access: yesThe Scientific World Journal, 2014
A function f defined on a subset E of a 2-normed space X is strongly lacunary ward continuous if it preserves strongly lacunary quasi-Cauchy sequences of points in E; that is, (f(xk)) is a strongly lacunary quasi-Cauchy sequence whenever (xk) is strongly
Hüseyin Çakalli, Sibel Ersan
doaj   +1 more source

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