Results 11 to 20 of about 270 (49)
Ideal-quasi-Cauchy sequences [PDF]
, 2012 An ideal $I$ is a family of subsets of positive integers $\textbf{N}$ which is closed under taking finite unions and subsets of its elements.
Cakalli, Huseyin, Hazarika, Bipan
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Notes on zygmund functions [PDF]
, 2017 In this paper we study a class of continuous functions satisfying a certain Zyg-mund condition dependent on a parameter γ > 0. It shown that the modulus of continuity of such functions is O(δ(log 1/δ)1-γ) if ∈ (0, 1) and O(δ(log log 1/δ )) if γ = 1 ...
Akhadkulov, Habibulla +3 more
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Inclusions of Waterman-Shiba spaces into generalized Wiener classes
, 2014 The characterization of the inclusion of Waterman-Shiba spaces $\Lambda BV^{(p)}$ into generalized Wiener classes of functions $BV(q;\,\delta)$ is given. It uses a new and shorter proof and extends an earlier result of U.
Hormozi, Mahdi +2 more
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On a class of generalized Takagi functions with linear pathwise quadratic variation
, 2015 We consider a class $\mathscr{X}$ of continuous functions on $[0,1]$ that is of interest from two different perspectives. First, it is closely related to sets of functions that have been studied as generalizations of the Takagi function.
Schied, Alexander
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Fractional velocity as a tool for the study of non-linear problems
, 2018 Singular functions and, in general, H\"older functions represent conceptual models of nonlinear physical phenomena. The purpose of this survey is to demonstrate the applicability of fractional velocity as a tool to characterize Holder and in particular ...
Prodanov, Dimiter
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Multifractal analysis of the Brjuno function
, 2017 We determine the $1$-exponent (according to the Calder\'on-Zygmund definition) of the Brjuno function $B$ everywhere, thus showing that it is a new example of multifractal function. We also discuss various notions of pointwise regularity of the function $
Jaffard, Stéphane, Martin, Bruno
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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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On the Almost Everywhere Continuity
, 2014 The aim of this paper is to provide characterizations of the Lebesgue-almost everywhere continuity of a function f : [a, b] $\rightarrow$ R. These characterizations permit to obtain necessary and sufficient conditions for the Riemann integrability of f
Blot, Joël
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No functions continuous only at points in a countable dense set
, 2019 We give a short proof that if a function is continuous on a countable dense set, then it is continuous on an uncountable set. This is done for functions defined on nonempty complete metric spaces without isolated points, and the argument only uses that ...
Silva, Cesar E., Wu, Yuxin
core
The approximate functional equation of some Diophantine series. [PDF]
Mon Hefte Math, 2023 Chamizo F, Martin B.
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