Results 71 to 80 of about 4,067 (192)
f-lacunary statistical convergence in topological groups
Acta Scientiarum: TechnologyIn this study, we will define the concept of -lacunary statistical convergence in topological groups with the help of an unbounded modulus function.
Süleyman Sarikaya, Yavuz Altin
doaj +1 more source
Veterinary Medicine and Science, Volume 12, Issue 1, January 2026.This study aimed to evaluate the in ovo injection of nettle extract, mushroom extract and their mixture as natural anti‐aromatase on sex reversal, histological changes in ovaries and testes and carcass characteristics of Ross 308 broiler chickens. Sex differentiation in avian species A completely randomized block design used to allocate 500 fertilized ...
Ali Akbari‐Balajorshari +3 more
wiley +1 more source
The dimension of well approximable numbers
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In this survey article, we explore a central theme in Diophantine approximation inspired by a celebrated result of Besicovitch on the Hausdorff dimension of well approximable real numbers. We outline some of the key developments stemming from Besicovitch's result, with a focus on the mass transference principle, ubiquity and Diophantine ...
Victor Beresnevich, Sanju Velani
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Some Paranormed Sequence Spaces Which Involve Arithmetic Divisor Sum Function
Journal of Function Spaces, Volume 2026, Issue 1, 2026.Let Dr, r ≥ 0, be a triangle and q = (qj) be a bounded sequence of strictly positive numbers. In this paper, we study the algebraic and topological properties of the paranormed sequence space ℓDr,q, generated by the triangle Dr over Maddox′s space ℓ(q). We identify the Schauder basis as well as the α‐, β‐, and γ‐duals of the space ℓDr,q. One section is
Ting Gan +5 more
wiley +1 more source
Lacunary generating functions of Hermite polynomials and symbolic methods [PDF]
, 2015 We employ an umbral formalism to reformulate the theory of Hermite polynomials and the derivation of the associated lacunary generating ...
D. Babusci +4 more
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I-lacunary summability function of order α
Filomat, 2017 In this paper, we further generalize recently introduced summability methods in [23](where ideals of N were used to extend certain important summability methods) and introduce new notions, namely, I-statistical convergence of order ?, where 0 < ? < 1 by taking nonnegative real-valued Lebesque measurable function in the interval (1,?).
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The pointwise convergence of Fourier Series (I). On a conjecture of Konyagin [PDF]
, 2016 We provide a near-complete classification of the Lorentz spaces $\Lambda_{\varphi}$ for which the sequence $\{S_{n}\}_{n\in \mathbb{N}}$ of partial Fourier sums is almost everywhere convergent along lacunary subsequences. Moreover, under mild assumptions
Lie, Victor
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A pointwise ergodic theorem along return times of rapidly mixing systems
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3730-3748, December 2025.Abstract We introduce a new class of sparse sequences that are ergodic and pointwise universally L2$L^2$‐good for ergodic averages; that is, sequences along which the ergodic averages converge almost surely to the projection to invariant functions.
Sebastián Donoso +2 more
wiley +1 more source
Upward and downward statistical continuities [PDF]
, 2013 A real valued function $f$ defined on a subset $E$ of $\textbf{R}$, the set of real numbers, is statistically upward continuous if it preserves statistically upward half quasi-Cauchy sequences, is statistically downward continuous if it preserves ...
Cakalli, Huseyin
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Lacunary Statistical Convergence of Sequences of Real-Valued Functions [PDF]
Journal of Mathematics, 2013 We introduce the concepts of the lacunary statistical convergence of sequences of real-valued functions. We also give the relation between this convergence and strongly lacunary and pointwise statistical convergence. Furthermore we introduce the concept of a lacunary statistical Cauchy sequence for functional sequences and prove that it is equivalent ...
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