Results 251 to 260 of about 173,303,186 (294)

The estimates of approximation by using a new type of weighted modulus of continuity

Computers and Mathematics With Applications, 2007
In this paper, we introduce a new type modulus of continuity for function f belonging to a particular weighted subspace of C[0,∞) and show that it has some properties of ordinary modulus of continuity.
Ali Aral
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Modulus of Continuity and Modulus of Smoothness related to the Deformed Hankel Transform

Results in Mathematics, 2021
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Selma Negzaoui, Sara Oukili
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On moduli of p-continuity

Acta Mathematica Hungarica, 2012
Moduli of p-continuity provide a measure of fractional smoothness of functions via p-variation. We prove sharp estimates of the modulus of p-continuty in terms of the modulus of q-continuity (1<p<q<\infty).
Martin Lind, V I Kolyada
exaly   +2 more sources

Estimates for the modulus of continuity in the Jacobi frame

Journal of Approximation Theory, 2022
A characterization of the modulus of continuity in the Jacobi frame with specific constants is establihed. It is used to provide estimates for the rate of convergence of Jacobi-Korovkin operators. Some known results are also improved.
Jorge Bustamante, Juán Jesús Merino-García, José María Quesada   +2 more
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Moduli of Continuity and Absolute Continuity: Any Relation? [PDF]

Results in Mathematics
We construct a monotone, continuous, but not absolutely continuous function whose minimal modulus of continuity is absolutely continuous. In particular, we establish that there is no equivalence between the absolute continuity of a function and the ...
Matteo Muratori
exaly   +3 more sources

Modulus of Continuity of Piecewise Analytic Functions

Mathematical Notes, 2003
Conditions under which the modulus of continuity \(\omega(f; \delta)\) of a piece-wise real-analytic function \(f : [a, b] \rightarrow {\mathbb R}\) becomes analytic at zero are found. The results obtained are of the following type. Theorem 1. Let \(f\) be piece-wise real-analytic on \([a, b]\). If \[ \sup_{x\in D_{N}} d(x) < \sup_{x\in M\setminus D_{N}
Dovgosheĭ, A. A., Potemkina, L. L.
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A Continuous Modulus of Continuity

The American Mathematical Monthly, 1983
(1983). A Continuous Modulus of Continuity. The American Mathematical Monthly: Vol. 90, No. 2, pp. 126-127.
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The modulus of continuity in Lp

Mathematical Notes of the Academy of Sciences of the USSR, 1987
Let \(1\leq p\leq \infty\), \(L_ p\) be the space of 1-periodic functions f(x) with the norm \(\| f\|_ p=(\int^{1}_{0}| f(x)| \;pdx)^{1/p}\) \(1\leq ...
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The Modulus of Continuity of a Measure with Finite Energy

Computational Methods and Function Theory, 2007
Let \(n\geq 1\) and \(h:(0,1)\rightarrow (0,\infty )\) be a function such that \( r^{n+1}h(r)\) is increasing and bounded, and \(\int_{0}^{1}h(r)\,dr=\infty \). A kernel \(H\) is defined on \(\mathbb{R}^{n}\) by \(H(x)=\int_{| x| }^{1}h(r)\,dr\) when \(\left| x\right| \leq 1/2\) and by \( H(x)=H(x_{0})\) when \(\left| x\right| >\left| x_{0}\right| =1/2\
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On the integral modulus of continuity of fourier series

Journal d'Analyse Mathématique, 1972
Ram Babu. On the integral modulus of continuity of Fourier series. In: Bulletin de la Classe des sciences, tome 58, 1972. pp. 337-343.
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