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Riemann-Stieltjes Integral [PDF]
, 2016 In this article, the definitions and basic properties of Riemann-Stieltjes integral are formalized in Mizar [1]. In the first section, we showed the preliminary definition. We proved also some properties of finite sequences of real numbers. In Sec. 2, we
Nakasho, Kazuhisa +2 more
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Non-Instantaneous Impulsive Boundary Value Problems Containing Caputo Fractional Derivative of a Function with Respect to Another Function and Riemann–Stieltjes Fractional Integral Boundary Conditions [PDF]
Axioms, 2021 In the present article we study existence and uniqueness results for a new class of boundary value problems consisting by non-instantaneous impulses and Caputo fractional derivative of a function with respect to another function, supplemented with ...
Suphawat Asawasamrit +3 more
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A Sharp Bound of the Čebyšev Functional for the Riemann-Stieltjes Integral and Applications
Journal of Inequalities and Applications, 2008 A new sharp bound of the Čebyšev functional for the Riemann-Stieltjes integral is obtained. Applications for quadrature rules including the trapezoid and midpoint rules are given.
S. S. Dragomir
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Existence of solutions for a fractional Riemann–Stieltjes integral boundary value problem
Nonlinear AnalysisIn this paper, we study a Riemann–Liouville-type fractional Riemann–Stieltjes integral boundary value problem under some conditions regarding the spectral radius of the relevant linear operator.
Yanfang Li, Donal O’Regan, Jiafa Xu
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SIFAT-SIFAT INTEGRAL RIEMANN-STIELTJES
Barekeng, 2007 If is limited and []ℜ→baf,:[]ℜ→ba,:α Monotone increase in [, is Riemann-Stieltjes integral able to α on ] ba,[]ba, simply written by[]αRSf∈ if . With JI=()()xdxfIbaα∫= is called Riemann Stieltjes lower integral f to α and ()()xdxfJbaα∫
Francis Y. Rumlawang, Harimanus Batkunde
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On the positivity of Riemann-Stieltjes integrals [PDF]
, 2012 Correction: DOI:10.1017/S0004972713000713We study the question, whether a Riemann-Stieltjes integral of a positive continuous function with respect to a non-negative function of bounded variation is positive.Peer ...
Lukkarinen, Jani, S. Pakkanen, Mikko
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A new theorem on the existence of the Riemann-Stieltjes integral and an improved version of the Lo\'eve-Young inequality [PDF]
, 2015 Using the notion of the truncated variation we obtain a new theorem on the existence and estimation of the Riemann-Stieltjes integral. As a special case of this theorem we obtain an improved version of the Lo\'{e}ve-Young inequality for the Riemann ...
Łochowski, Rafał M.
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Linear Sturm-Liouville problems with Riemann-Stieltjes integral boundary conditions [PDF]
Opuscula Mathematica, 2018 We study second-order linear Sturm-Liouville problems involving general homogeneous linear Riemann-Stieltjes integral boundary conditions. Conditions are obtained for the existence of a sequence of positive eigenvalues with consecutive zero counts of the
Qingkai Kong, Thomas E. St. George
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MathematicsIn this paper, we focus on the existence of positive solutions for a class of p-Laplacian tempered fractional diffusion equations involving a lower tempered integral operator and a Riemann–Stieltjes integral boundary condition. By introducing certain new
Lishuang Li +3 more
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AIMS Mathematics, 2020 In this article, we study a class of p-Laplacian fractional differential boundary value problem involving Riemann-Stieltjes integral. By two fixed point theorems of a sum operator in partial ordering Banach spaces, we get the existence and uniqueness of ...
Chengbo Zhai, Yuanyuan Ma, Hongyu Li
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