Results 1 to 10 of about 81 (67)
Functions whose smoothness is not improved under the limit q-Bernstein operator
Journal of Inequalities and Applications, 2012 The limit q-Bernstein operator Bq emerges naturally as a modification of the Szász-Mirakyan operator related to the Euler probability distribution. At the same time, this operator serves as the limit for a sequence of the q-Bernstein polynomials with ...
S. Ostrovska
semanticscholar +3 more sources
Unextendable Intrinsic Lipschitz Curves: [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2021 In the setting of Carnot groups, we exhibit examples of intrinisc Lipschitz curves of positive H1measure that intersect every connected intrinsic Lipschitz curve in a H1-negligible set.
G. Antonelli, Andrea Merlo
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Ostrowski-type inequalities via h-convex functions with applications to special means [PDF]
Journal of Inequalities and Applications, 2012 In this paper, we establish some new Ostrowski-type inequalities for absolutely continuous mappings whose first derivatives in absolute value are h-convex (resp. h-concave) and which are super-multiplicative or super-additive.
Mevlut Tunc
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On rectifiable measures in Carnot groups: Marstrand–Mattila rectifiability criterion [PDF]
Journal of Functional Analysis, 2022 In this paper we continue the study of the notion of P-rectifiability in Carnot groups. We say that a Radon measure is Ph-rectifiable, for h ∈ N, if it has positive h-lower density and finite h-upper density almost everywhere, and, at almost every point,
G. Antonelli, Andrea Merlo
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The ideal of Lipschitz classical p-compact operators and its injective hull
Moroccan Journal of Pure and Applied Analysis, 2022 We introduce and investigate the injective hull of the strongly Lipschitz classical p-compact operator ideal defined between a pointed metric space and a Banach space.
Tiaiba Toufik, Achour Dahmane
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Some estimates for commutators of sharp maximal function on the p-adic Lebesgue spaces
Open Mathematics, 2023 In this article, the main aim is to consider the boundedness of the nonlinear commutator of pp-adic sharp maximal operator ℳp♯{{\mathcal{ {\mathcal M} }}}_{p}^{\sharp } with symbols belonging to the pp-adic Lipschitz spaces in the context of the pp-adic ...
Wu Jianglong, Chang Yunpeng
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Hölder Parameterization of Iterated Function Systems and a Self-Affine Phenomenon
Analysis and Geometry in Metric Spaces, 2021 We investigate the Hölder geometry of curves generated by iterated function systems (IFS) in a complete metric space. A theorem of Hata from 1985 asserts that every connected attractor of an IFS is locally connected and path-connected.
Badger Matthew, Vellis Vyron
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A dichotomy of sets via typical differentiability
Forum of Mathematics, Sigma, 2020 We obtain a criterion for an analytic subset of a Euclidean space to contain points of differentiability of a typical Lipschitz function: namely, that it cannot be covered by countably many sets, each of which is closed and purely unrectifiable (has a ...
Michael Dymond, Olga Maleva
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Common fixed point theorems for Lipschitz-type fuzzy mappings in metric spaces
Fixed Point Theory and Applications, 2013 In this paper, some common fixed point theorems for Lipschitz-type fuzzy mappings in complete metric spaces are obtained. As applications, we establish some common fixed point theorems for Lipschitz-type multi-valued mappings in complete metric spaces ...
Mingliang Song, Xue-Jun Zhang
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Journal of Function Spaces, Volume 7, Issue 1, Page 61-89, 2009., 2009 In connection with application to various problems of operator theory, we study almost monotonic functions w(x, r) depending on a parameter x which runs a metric measure space X, and the so called index numbers m(w, x), M(w, x) of such functions, and consider some generalized Zygmund, Bary, Lozinskii and Stechkin conditions.
Natasha Samko, Vladimir D. Stepanov
wiley +1 more source