Results 1 to 10 of about 849 (217)
On some generalizations of Ostrowski inequality for Lipschitz functions and functions of bounded variation [PDF]
Mathematical Inequalities and Applications, 2000 .
Josip Pecaric, M Matic
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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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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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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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Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation [PDF]
Ukrainian Mathematical Journal, 2015 The paper introduces a new concept of $Λ$-variation of multivariable functions and investigates its connection with the convergence of multidimensional Fourier ...
Goginava, U., Sahakian, A.
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On boundaryvalue problems in domains without (A)-condition
Доповiдi Нацiональної академiї наук УкраїниWe 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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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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Merit functions and error bounds for generalized variational inequalities
Journal of Mathematical Analysis and Applications, 2003 The author constructs three merit functions associated with the generalized variational inequality. Note that if the function \(f\) is the indicator function of a closed convex set \(K\) in \(H\), then the generalized inequality reduces to a problem considered and studied by \textit{M. A. Noor} [``Quasi variational inequalities'', Appl. Math. Lett.
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