Results 11 to 20 of about 895 (256)
On some generalizations of Ostrowski inequality for Lipschitz functions and functions of bounded variation [PDF]
Mathematical Inequalities and Applications, 2000 .
M Matic, Josip Pecaric
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Functions of Generalized Bounded Variation
, 2013 Baksidestext The classical concept of the total variation of a function has been extended in several directions. Such extensions find many applications in different areas of mathematics. Consequently, the study of notions of generalized bounded variation forms an important direction in the field of mathematical analysis.
Lind, Martin
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On boundaryvalue problems in domains without (A)-condition
Доповiдi Нацiональної академiї наук України, 2019 We study the Hilbert boundaryvalue problem for the Beltrami equations in the Jordan domains satisfying the quasihyperbolic boundary condition by Gehring—Martio, generally speaking, without the standard (A)-condition by Ladyzhenskaya—Ural'tseva.
V.Ya. Gutlyanskii +3 more
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Metric Entropy for Functions of Bounded Total Generalized Variation [PDF]
SIAM Journal on Mathematical Analysis, 2021 We establish a sharp estimate for a minimal number of binary digits (bits) needed to represent all bounded total generalized variation functions taking values in a general totally bounded metric space $(E,ρ)$ up to an accuracy of $\varepsilon>0$ with respect to the ${\bf L}^1$-distance.
Rossana Capuani +2 more
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On the Convolution of Functions of Generalized Bounded Variations [PDF]
Georgian Mathematical Journal, 2006 Abstract Let 𝑓 and 𝑔 be 2π periodic functions. If 𝑓 ∈ 𝐿1[0, 2π] and 𝑔 is from ∧ 𝐵𝑉(𝑝)[0, 2π] or, Lip(α, 𝑝)[0, 2π] or, 𝑟 – 𝐵𝑉 [0, 2π], then 𝑓 convolution 𝑔 inherit the same property.
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Relations between some classes of functions of generalized bounded variation [PDF]
Banach Center Publications, 2014 We prove inclusion relations between generalized Waterman's and generalized Wiener's classes for functions of two variable.
Gogatishvili, A. (Amiran) +2 more
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Functions with bounded variation in locally convex space [PDF]
, 2011 The present paper is concerned with some properties of functions with values in locally convex vector space, namely functions having bounded variation and generalizations of some theorems for functions with values in locally convex vector spaces ...
Debiève, Camille +3 more
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New Generalized Inequalities for Functions of Bounded Variation
Cumhuriyet Science Journal, 2018 In this paper, firstly we obtain some generalized trapezoid and midpoint type inequalities for functions of bounded variation using two new generalized identities for Riemann-Stieltjes integrals. Then quadrature formula is also provided.
BUDAK, Hüseyin, SARIKAYA, Mehmet Zeki
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Estimation of BVk functions from scattered data
, 2023 The study of bounded variation (BV) functions, and its higher-order generalizations (BVk functions), is rooted in many ?elds: statistics, signal processing, functional analysis, approximation theory, among others.
Addison J. Hu (17597898)
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Generalized Integrals with Respect to Functions of Bounded Variation [PDF]
Canadian Journal of Mathematics, 1958 A considerable literature has grown up around the analysis of the structure of a function in terms of its derivative, and the structure of functions F(x) which are integrals of various kinds. Some of this relates to derivatives and integrals of F(x) with respect to functions of bounded variation ω(x) (1-6) or, in the case of a paper by Ward (4), with ...
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