Results 1 to 10 of about 325 (112)

On Modulated Lacunary Statistical Convergence of Double Sequences

Mathematics, 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
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Centered Polygonal Lacunary Sequences

Mathematics, 2019
Lacunary functions based on centered polygonal numbers have interesting features which are distinct from general lacunary functions. These features include rotational symmetry of the modulus of the functions and a notion of polished level sets.
Keith Sullivan, Drew Rutherford, Darin J. Ulness   +2 more
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Lacunary polyoxometalate nanoclusters as versatile interface modifiers for perovskite solar cells [PDF]

Scientific Reports
We report the first incorporation of diverse lacunary polyoxometalate (POM) nanocluster materials as efficient interface modifiers in perovskite solar cells (PSCs).
Apostolis Verykios, Yasemin Torlak, Fangwen Cheng, Mélissa Crespin, Marinos Tountas, Nikolaos Tzoganakis, Dimitrios K. Giannopoulos, Antigoni Cheilari, Georgios C. Vougioukalakis, Ermioni Polydorou, Zoi Georgiopoulou, Georgios Chatzigiannakis, Ioannis G. Aviziotis, Vassilis Psycharis, Efi-Maria Papia, Vassilios Constantoudis, Anastasia Soultati, Mahmut Kus, Mustafa Ersoz, Emmanuel Kymakis, Alexander Chroneos, Ioannis Karatasios, Feng Gao, Feng Wang, Maria Vasilopoulou   +24 more
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Rotationally Symmetric Lacunary Functions and Products of Centered Polygonal Lacunary Functions

Fractal 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, Keith Sullivan, Trenton Vogt, Darin J. Ulness   +3 more
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New Definitions about A I -Statistical Convergence with Respect to a Sequence of Modulus Functions and Lacunary Sequences

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, Hafize Gümüş, Ekrem Savas   +2 more
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Invariant means and lacunary sequence spaces of order (α, β)

Demonstratio Mathematica
In this article, we use the notion of lacunary statistical convergence of order (α,β)\left(\alpha ,\beta ) to introduce new sequence spaces by lacunary sequence, invariant means defined by Musielak-Orlicz function ℳ=(ℵk){\mathcal{ {\mathcal M} }}=\left({\
Ayman-Mursaleen Mohammad, Nasiruzzaman Md., Sharma Sunil K., Cai Qing-Bo   +3 more
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Taming the Natural Boundary of Centered Polygonal Lacunary Functions—Restriction to the Symmetry Angle Space

Mathematics, 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, Keith Sullivan, Darin J. Ulness   +2 more
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TOMIC FUNCTIONS AND LACUNARY INTERPOLATION SERIES IN BOUNDARY VALUE PROBLEMS FOR PARTIAL DERIVATIVES EQUATIONS AND IMAGE PROCESSING

Радіоелектронні 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, Tatiana Volodimirivna Rvachova, Evgenia Pavlovna Tomilova   +2 more
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Hervé- and Krebs-Type Magnetic Polyoxometalate Dimers

Magnetochemistry, 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, Abhishek Banerjee, Sib Sankar Mal   +2 more
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Construction of Lacunary Sextic spline function Interpolation and their Applications [PDF]

مجلة 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, Rostam K. Saeed, Faraidun K. Hama-Salh   +2 more
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