Results 41 to 50 of about 5,146,047 (210)
On Some New Sequence Spaces and Statistical Convergence Methods for Double Sequences
Demonstratio Mathematica, 2014 In this paper, we introduce some new double sequence spaces with respect to an Orlicz function and define two new convergence methods related to the concepts of statistical convergence and lacunary statistical convergence for double sequences.
Belen Cemal, Yildirim Mustafa
doaj +1 more source
Lacunary statistical convergence in A-metric space via modulus function [PDF]
This paper systematically develops the theory of m-lacunary statistical convergence and strong m-lacunary summability of order ? within the framework of A-metric spaces, a higher-order generalization of ordinary metric spaces wherein distances are ...
Mursaleen, M. +2 more
core +1 more source
The Numerical Range of C*ψ Cφ and Cφ C*ψ
Concrete Operators, 2021 In this paper we investigate the numerical range of C*bφm Caφn and Caφn C*bφm on the Hardy space where φ is an inner function fixing the origin and a and b are points in the open unit disc.
Clifford John +2 more
doaj +1 more source
Lacunary Sets and Function Spaces with Finite Cotype
Journal of Functional Analysis, 2002 Let \(G\) be an infinite metrizable compact Abelian group and let \(\Gamma\) be its dual group. Let \(U(G)\subseteq C(G)\) denote the space of functions with uniformly convergent Fourier series. For an Orlicz function~\(\psi\) let \(L^\psi\) denote the Orlicz space associated to~\(\psi\).
Lefèvre, P. +3 more
openaire +1 more source
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 Let Γ(m) denotes the gamma function of a real number m∉{0,-1,-2,…}. Then the difference matrix Δ^α of a fractional order α is defined as (Δ^α v)_k=∑_i〖(-1)^i (Γ(α+1))/(i!Γ(α-i+1)) v_(k+i) 〗.Using the difference operator Δ^α, we introduce paranormed ...
Taja Yayıng
doaj +1 more source
Critical temperatures of the Ising model on Sierpiñski fractal lattices [PDF]
EPJ Web of Conferences, 2020 We report our latest results of the spectra and critical temperatures of the partition function of the Ising model on deterministic Sierpiñski carpets in a wide range of fractal dimensions. Several examples of spectra are given.
Perreau Michel
doaj +1 more source
Maximal Functions Along Convex Curves with Lacunary Directions [PDF]
Taiwanese Journal of Mathematics, 2022 The maximal function \(M_\gamma\) along the curve \((t,\gamma(t))\) is defined by \[ M_\gamma f(x_1,x_2):=\sup_{\varepsilon>0}\frac{1}{2\varepsilon}\int^\varepsilon_{-\varepsilon} | f(x_1-t,x_2-\gamma(t))|dt. \] The question of whether this operator \(M_\gamma\) is bounded on \(L^p(\mathbb{R}^2)\) has received much attention in the last few decades. In
openaire +1 more source
Lacunary Statistically $\phi$- Convergence
, 2020 In this paper by using the lacunary sequence and Orlicz function $\phi$, we introduce a new concept of lacunary statistically $\phi$-convergence, as a generalization of the statistically $\phi-$convergence and $\phi-$convergence.
Debnath, Shyamal, Savas, Ekrem
core +1 more source
EcoEnergy, EarlyView.This review focuses on multielectron redox regulation across molecular and hybrid architectures for photocatalytic CO2 reduction, covering intrinsic POM photocatalysts, photosensitizer‐assisted assemblies, POM–metal–organic complexes, and POM‐integrated semiconductors and MOF/COF heterostructures to link structural motifs with charge transport, product
Bonan Li, Xiaowen Ruan, Sai Kishore Ravi
wiley +1 more source
Lacunary Discrete Spherical Maximal Functions
, 2018 We prove new $\ell ^{p} (\mathbb Z ^{d})$ bounds for discrete spherical averages in dimensions $ d \geq 5$. We focus on the case of lacunary radii, first for general lacunary radii, and then for certain kinds of highly composite choices of radii. In particular, if $ A _{λ} f $ is the spherical average of $ f$ over the discrete sphere of radius $ λ$, we
Kesler, Robert +2 more
openaire +3 more sources