Results 1 to 10 of about 488,957 (273)
Integral Representation of Functions of Bounded Variation [PDF]
Journal of Mathematics, 2019 Functions of bounded variations form important transition between absolute continuous and singular functions. With Bainov’s introduction of impulsive differential equations having solutions of bounded variation, this class of functions had eventually ...
Z. Lipcsey +3 more
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On functions of bounded p-variation
Journal of Mathematical Analysis and Applications, 2009 The authors obtain estimates of the total \(p\)-variation ...
Martin Lind
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On the Riemann-Stieltjes Integral [PDF]
Mathematics Interdisciplinary Research, 2022 This study contributes to the theory of Riemann-Stieltjes integral. We prove that if all continuous piecewise linear functions are Riemann-Stieltjes integrable with respect to a bounded integrator α : [a,b] → R, then α must be of bounded variation on [a ...
Ali Parsian
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On the order of magnitude of Walsh-Fourier transform [PDF]
Mathematica Bohemica, 2020 For a Lebesgue integrable complex-valued function $f$ defined on $\mathbb R^+:=[0,\infty)$ let $\hat f$ be its Walsh-Fourier transform. The Riemann-Lebesgue lemma says that $\hat f(y)\to0$ as $y\to\infty$.
Bhikha Lila Ghodadra, Vanda Fülöp
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On the approximation of bounded functions by trigonometric polynomials in Hausdorff metric [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 The article discusses a method for constructing a spline function to obtain estimates that are exact in order to approximate bounded functions by trigonometric polynomials in the Hausdorff metric.
Sadekova, Ekaterina H.
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Grüss-Type Inequalities for Vector-Valued Functions
Mathematics, 2022 Grüss-type inequalities have been widely studied and applied in different contexts. In this work, we provide and prove vectorial versions of Grüss-type inequalities involving vector-valued functions defined on Rn for inner- and cross-products.
Mohammad W. Alomari +2 more
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On new Milne-type inequalities for fractional integrals
Journal of Inequalities and Applications, 2023 In this study, fractional versions of Milne-type inequalities are investigated for differentiable convex functions. We present Milne-type inequalities for bounded functions, Lipschitz functions, functions of bounded variation, etc., found in the ...
Hüseyin Budak +2 more
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Проблемы анализа, 2020 We firstly examine some inequalities obtained by using sets of complex-valued functions for functions whose high order derivatives are restricted. We also give some approximations for the functions whose derivatives up to the order 𝑛−1 (𝑛 ≥ 1) are ...
S. Erden
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Integral representation of functions of bounded second Φ-variation in the sense of Schramm [PDF]
Opuscula Mathematica, 2012 In this article we introduce the concept of second \(\Phi\)-variation in the sense of Schramm for normed-space valued functions defined on an interval \([a,b] \subset \mathbb{R}\). To that end we combine the notion of second variation due to de la Vallée
José Giménez +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2018 The paper deals with the study of the existence of solutions of a quadratic integral equation of Volterra–Stieltjes type. We are looking for solutions in the class of real functions continuous and bounded on the real half-axis $\mathbb{R}_+$ and ...
Jozef Banas, Agnieszka Dubiel
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