Results 1 to 10 of about 43,148 (240)

Metric Entropy for Functions of Bounded Total Generalized Variation [PDF]

SIAM Journal on Mathematical Analysis, 2021
26
Capuani, Rossana, Dutta, Prerona, Nguyen, Khai T.   +2 more
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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), Goginava, U., Tephnadze, G.   +2 more
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Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation [PDF]

Ukrainian Mathematical Journal, 2015
The paper introduces a new concept of $ $-variation of multivariable functions and investigates its connection with the convergence of multidimensional Fourier ...
Goginava, U., Sahakian, A.
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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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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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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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Set-Valued Functions of Bounded Generalized Variation and Set-Valued Young Integrals [PDF]

Journal of Theoretical Probability, 2020
AbstractThe paper deals with some properties of set-valued functions having bounded Riesz p-variation. Set-valued integrals of Young type for such multifunctions are introduced. Selection results and properties of such set-valued integrals are discussed.
Mariusz Michta, Jerzy Motyl
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Functions of generalized bounded variation and its multiple fourier coefficients

Publications de l'Institut Mathematique, 2018
Summary: Here, generalizing the class \((\Lambda^1,\Lambda^2)^{\ast} BV^{(p)}([0,2\pi]^2)\) to the class \((\Lambda^1,\Lambda^2)^{\ast} BV^{(p,q)}([0,2\pi]^2)\) of functions of \(p,q\)-\((\Lambda^1,\Lambda^2)^{\ast}\)-bounded variation, it is observed that the class is a Banach space with respect to the pointwise operations and the generalized ...
Darji, Kiran N., Vyas, Rajendra G.
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On some generalizations of Ostrowski inequality for Lipschitz functions and functions of bounded variation [PDF]

Mathematical Inequalities & Applications, 2000
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Pečarić, Josip, Matić, Marko, Dedić, Ljuban   +2 more
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Functions of bounded variation, signed measures, and a general Koksma–Hlawka inequality [PDF]

Acta Arithmetica, 2015
In this paper we prove a correspondence principle between multivariate functions of bounded variation in the sense of Hardy and Krause and signed measures of finite total variation, which allows us to obtain a simple proof of a generalized Koksma--Hlawka inequality for non-uniform measures.
Aistleitner, Christoph, Dick, Josef
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