The Experts below are selected from a list of 327 Experts worldwide ranked by ideXlab platform
Sever S Dragomir - One of the best experts on this subject based on the ideXlab platform.
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new gruss type inequalities for riemann Stieltjes Integral with monotonic integrators and applications
Annals of Functional Analysis, 2014Co-Authors: Mohammad W. Alomari, Sever S DragomirAbstract:In this paper several new inequalities of Gruss' type for Riemann--Stieltjes Integral with monotonic nondecreasing integrators under various assumptions for integrands are proved. Applications for functions of selfadjoint operators on complex Hilbert spaces are provided as well.
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Approximating the Riemann–Stieltjes Integral in terms of generalised trapezoidal rules
Nonlinear Analysis-theory Methods & Applications, 2009Co-Authors: Sever S DragomirAbstract:Abstract Error bounds in approximating the Riemann–Stieltjes Integral in terms of some new generalised trapezoidal rules are given. Applications for approximating the Riemann Integral of a two-function product are provided as well.
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approximating the riemann Stieltjes Integral in terms of generalised trapezoidal rules
Nonlinear Analysis-theory Methods & Applications, 2009Co-Authors: Sever S DragomirAbstract:Abstract Error bounds in approximating the Riemann–Stieltjes Integral in terms of some new generalised trapezoidal rules are given. Applications for approximating the Riemann Integral of a two-function product are provided as well.
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bounding the cebysev functional for the riemann Stieltjes Integral via a beesack inequality and applications
Computers & Mathematics With Applications, 2009Co-Authors: Pietro Cerone, Sever S DragomirAbstract:Lower and upper bounds of the Cebysev functional for the Riemann-Stieltjes Integral are given. Applications relating to the three-point quadrature rules of functions that are differentiable n times are also provided.
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approximating the riemann Stieltjes Integral via some moments of the integrand
Mathematical and Computer Modelling, 2009Co-Authors: Pietro Cerone, Sever S DragomirAbstract:Error bounds in approximating the Riemann-Stieltjes Integral in terms of some moments of the integrand are given. Applications for p-convex functions and in approximating the Finite Foureir Transform are pointed out as well.
Sever S Dragomir - One of the best experts on this subject based on the ideXlab platform.
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A Survey on Ostrowski Type Inequalities for Riemann-Stieltjes Integral
Handbook of Functional Equations, 2014Co-Authors: Wing-sum Cheung, Sever S DragomirAbstract:Some Ostrowski type inequalities for the Riemann–Stieltjes Integral for various classes of integrands and integrators are surveyed. Applications for the midpoint rule and a generalised trapezoidal type rule are also presented.
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Approximating the Stieltjes Integral via a weighted trapezoidal rule with applications
Mathematical and Computer Modelling, 2013Co-Authors: Sever S Dragomir, Igor FedotovAbstract:Abstract In this paper we provide sharp error bounds in approximating the weighted Riemann–Stieltjes Integral ∫ a b f ( t ) g ( t ) d α ( t ) by the weighted trapezoidal rule f ( a ) + f ( b ) 2 ∫ a b g ( t ) d α ( t ) . Applications for continuous functions of selfadjoint operators in complex Hilbert spaces are given as well.
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THE QUASILINEARITY OF SOME FUNCTIONALS ASSOCIATED WITH THE RIEMANN–Stieltjes Integral
Bulletin of the Australian Mathematical Society, 2011Co-Authors: Sever S Dragomir, Igor FedotovAbstract:The superadditivity and subadditivity of some functionals associated with the Riemann–Stieltjes Integral are established. Applications in connection to Ostrowski’s and the generalized trapezoidal inequalities and for special means are provided.
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Superadditivity and Supermultiplicity of Two Functionals Associated with the Stieltjes Integral
2010Co-Authors: Pietro Cerone, Sever S Dragomir, Alasdair McandrewAbstract:The superadditivity and supermultiplicity of two functionals associated with the Stieltjes Integral are established. Some applications are provided.
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APPROXIMATING THE Stieltjes Integral FOR (φ,Φ)-LIPSCHITZIAN INTEGRATORS
Bulletin of The Australian Mathematical Society, 2008Co-Authors: Sever S DragomirAbstract:Approximations for the Stieltjes Integral with (ϕ, Φ)-Lipschitzian integrators are given. Applications for the Riemann Integral of a product and for the generalized trapezoid and Ostrowski inequalities are also provided
Li Huang - One of the best experts on this subject based on the ideXlab platform.
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existence of positive solution for semipositone fractional differential equations involving riemann Stieltjes Integral conditions
Abstract and Applied Analysis, 2012Co-Authors: Wei Wang, Li HuangAbstract:The existence of at least one positive solution is established for a class of semipositone fractional differential equations with Riemann-Stieltjes Integral boundary condition. The technical approach is mainly based on the fixed-point theory in a cone.
Tomasz Zając - One of the best experts on this subject based on the ideXlab platform.
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On Monotonic and Nonnegative Solutions of a Nonlinear Volterra-Stieltjes Integral Equation
Journal of Function Spaces, 2014Co-Authors: Tomasz ZającAbstract:We study the existence of monotonic and nonnegative solutions of a nonlinear quadratic Volterra-Stieltjes Integral equation in the space of real functions being continuous on a bounded interval. The main tools used in our considerations are the technique of measures of noncompactness in connection with the theory of functions of bounded variation and the theory of Riemann-Stieltjes Integral. The obtained results can be easily applied to the class of fractional Integral equations and Volterra-Chandrasekhar Integral equations, among others.
Thomas E. St. George - One of the best experts on this subject based on the ideXlab platform.
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Linear Sturm-Liouville problems with Riemann- Stieltjes Integral boundary conditions
Opuscula Mathematica, 2018Co-Authors: Qingkai Kong, Thomas E. St. GeorgeAbstract: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 eigenfunctions. Additionally, we find interlacing relationships between the eigenvalues of such Sturm-Liouville problems and those of Sturm-Liouville problems with certain two-point separated boundary conditions.