Results 1 to 10 of about 3,163 (263)
Lyapunov Functionals in Integral Equations
Axioms, 2023 Lyapunov functions/functionals have found their footing in Volterra integro-differential equations. This is not the case for integral equations, and it is therefore further explored in this paper.
Youssef N. Raffoul, Joseph Raffoul
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On the weighted fractional integral inequalities for Chebyshev functionals
Advances in Difference Equations, 2021 The goal of this present paper is to study some new inequalities for a class of differentiable functions connected with Chebyshev’s functionals by utilizing a fractional generalized weighted fractional integral involving another function G $\mathcal{G ...
Gauhar Rahman +4 more
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Refinements of the Converse Hölder and Minkowski Inequalities
Mathematics, 2022 We give a refinement of the converse Hölder inequality for functionals using an interpolation result for Jensen’s inequality. Additionally, we obtain similar improvements of the converse of the Beckenbach inequality.
Josip Pečarić +2 more
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Generalized Integral Transforms via the Series Expressions
Mathematics, 2020 From the change of variable formula on the Wiener space, we calculate various integral transforms for functionals on the Wiener space. However, not all functionals can be obtained by using this formula.
Hyun Soo Chung
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More General Weighted-Type Fractional Integral Inequalities via Chebyshev Functionals
Fractal and Fractional, 2021 The purpose of this research paper is first to propose the generalized weighted-type fractional integrals. Then, we investigate some novel inequalities for a class of differentiable functions related to Chebyshev’s functionals by utilizing the proposed ...
Gauhar Rahman +4 more
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Absolutely Integrable Functions
Formalized Mathematics, 2022 Summary The goal of this article is to clarify the relationship between Riemann’s improper integrals and Lebesgue integrals. In previous articles [6], [7], we treated Riemann’s improper integrals [1], [11] and [4] on arbitrary intervals.
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On the Estimation of Spectral Functionals of the Fourth Order for Stationary Random Fields
Austrian Journal of Statistics, 2020 This paper is concerned with the estimation of integral functionals of the fourth order spectral densities for stationary random fields based on tapered data.
Lyudmyla Sakhno
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On Fractional Inequalities Using Generalized Proportional Hadamard Fractional Integral Operator
Axioms, 2022 The main objective of this paper is to use the generalized proportional Hadamard fractional integral operator to establish some new fractional integral inequalities for extended Chebyshev functionals.
Vaijanath L. Chinchane +4 more
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Feynman Integrals for the Harmonic Oscillator in an Exponentially Growing Potential
Mathematics, 2023 We construct the Feynman integral for the Schrödinger propagator with combinations of exponentially growing and harmonic oscillator potentials as well-defined white noise functionals.
Alviu Rey Nasir +3 more
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Rates of approximation of nonsmooth integral-type functionals of Markov processes
Modern Stochastics: Theory and Applications, 2014 We provide strong $L_{p}$-rates of approximation of nonsmooth integral-type functionals of Markov processes by integral sums. Our approach is, in a sense, process insensitive and is based on a modification of some well-developed estimates from the theory
Iu. Ganychenko, A. Kulik
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