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Connections between Non-Linear Optimization Problems and Associated Variational Inequalities
Mathematics, 2023 In this paper, by using the invexity (or pseudoinvexity) and Fréchet differentiability of some integral functionals of curvilinear type, we state some relations between the solutions of a new non-linear optimization problem and the associated variational
Savin Treanţă +2 more
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Crosstalk Between ROS and Autophagy in Tumorigenesis: Understanding the Multifaceted Paradox
Frontiers in Oncology, 2022 Cancer formation is a highly regulated and complex process, largely dependent on its microenvironment. This complexity highlights the need for developing novel target-based therapies depending on cancer phenotype and genotype.
Adria Hasan +9 more
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Advances in Difference Equations, 2021 We investigate the existence of solutions for a nonlinear integral inclusion of Urysohn–Stieltjes type. As applications, we give a Chandrasekhar quadratic integral equation and a nonlinear Chandrasekhar integral inclusion.
Ahmed El-Sayed +2 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 Some Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator
Axioms, 2021 In this paper, we deal with the Caputo–Fabrizio fractional integral operator with a nonsingular kernel and establish some new integral inequalities for the Chebyshev functional in the case of synchronous function by employing the fractional integral ...
Vaijanath L. Chinchane +3 more
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Accuracy of discrete approximation for integral functionals of Markov processes
Modern Stochastics: Theory and Applications, 2015 The article is devoted to the estimation of the convergence rate of integral functionals of a Markov process. Under the assumption that the given Markov process admits a transition probability density differentiable in t and the derivative has an ...
Iurii Ganychenko +2 more
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On the distribution of integral functionals of a homogeneous diffusion process
Modern Stochastics: Theory and Applications, 2014 In this article, we study homogeneous transient diffusion processes. We provide the basic distributions of their local times. It helps to get exact formulas and upper bounds for the moments, exponential moments, and potentials of integral functionals of ...
M. Perestyuk, Yu. Mishura, G. Shevchenko
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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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Transactions of the American Mathematical Society, 1972 In §2 a mapping of nonnegative functions is defined to be an integral if it has the following properties: I ( f ) ⩾ 0 , I ( f ) > ∞ I(f) \geqslant 0,I(f) > \infty for some f f , if f ⩽ g f ...
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Fast -approximation of integral-type functionals of Markov processes
Modern Stochastics: Theory and Applications, 2015 In this paper, we provide strong $L_{2}$-rates of approximation of the integral-type functionals of Markov processes by integral sums. We improve the method developed in [2].
Iurii Ganychenko
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