Riemann-Stieltjes
Riemann Stieltjes Operators between Vector Valued Weighted Bloch Spaces
... Let X be a Banach space, we study Riemann-Stieltjes operators between X-valued weighted Bloch spaces. Some necessary and sufficient conditions for these operators induced by holomorphic functions to be weakly ...
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Oscillation of impulsive functional differential equations with oscillatory potentials and Riemann Stieltjes integrals
... This paper addresses the oscillation problem of a class of impulsive differential equations with delays and Riemann-Stieltjes integrals that cover many equations in the literature. In the case of oscillatory ...
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Riemann Stieltjes operators from spaces to Bloch spaces on the unit ball
... The boundedness of two classes of Riemann-Stieltjes operators from general function space Fp, q,s, which includes Hardy space, Bergman space, Q p space, BMOA space, and Bloch space, to α[r] ...
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Approximating the Riemann Stieltjes integral of smooth integrands and of bounded variation integrators
... of Riemann-Stieltjes integral a b f (t)du(t), where f is called the integrand, u is called the integrator, plays an important role in mathematics, for instance in the definition of complex integral, the ...
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A new theorem on the existence of the Riemann Stieltjes integral and an improved version of the Loéve Young inequality
... the Riemann-Stieltjes integral, expressed in terms of the truncated variation functionals and derive from it the stronger version of the Loéve- Young ...
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Bounding the Čebyšev Functional for the Riemann-Stieltjes Integral via a Beesack Inequality and Applications
... In 1975, P.R. Beesack [1] showed that, if y; v; w are real valued functions de- …ned on a compact interval [a; b] ; where w is of bounded variation with total variation W b a (w) ; and such that the ...
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Inequalities for the Riemann-Stieltjes integral of S-dominated integrators with applications. I
... [12] Dragomir S. S. Some inequalities of midpoint and trapezoid type for the Riemann–Stieltjes integral. Nonlinear Anal., 2001, vol. 47, pp. 2333–2340. [13] Dragomir S. S. Improvements of Ostrowski and ...
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Riemann Stieltjes operators between Bergman type spaces and α Bloch spaces
... , Riemann-Stieltjes operators on weighted Bloch and Bergman spaces of the unit ball, Jour[21] nal of the London Mathematical Society.. Yoneda, Pointwise multipliers from BMOAα to BMOAβ ,[r] ...
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A new inequality for the Riemann Stieltjes integrals driven by irregular signals in Banach spaces
... and D’yačkov [5] (for very detailed account, see [6, Chapter 3]), but they were expressed in terms of p- or (more general) φ-variations. The integral obtained as the limit of Riemann- Stieltjes sums in this ...
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ON SOME RIEMANN-STIELTJES INTEGRAL INEQUALITIES OF GENERALIZED TRAPEZOID TYPE WITH APPLICATIONS
... Assume that u; f : [a; b] ! C . If the Riemann-Stieltjes integral R a b f (t) du (t) exists, we write for simplicity, like in [1, p. 142] that f 2 R C (u; [a; b]) ; or R C (u) when the interval is ...
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Approximating the Riemann-Stieltjes Integral via a Čebyšev Type Functional
... FEDOTOV, An inequality of Gr¨ uss type for the Riemann-Stieltjes integral and applications for special means, Tamkang J. FEDOTOV, A Gr¨ uss type inequality for mappings of bounded[r] ...
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Differences Between Means with Bounds from a Riemann-Stieltjes Integral
... Abstract. An identity for the difference between two integral means is ob- tained in terms of a Riemann-Stieltjes integral. This enables bounds to be procured when the integrand is of bounded variation, ...
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Approximating the Riemann-Stieltjes Integral via Some Moments of the Integrand
... the Riemann-Stieltjes integral, in Advances in Statistics, Combinatorics and Related Areas, Chandra Gulati, Yan-Xia Lin, Satya Mishra and John Rayner ...
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Generalizations of Opial’s Inequalities for Riemann-Stieltjes Integral with Applications
... Motivated by the above results, in this paper we establish some generalizations of Opial’s inequalities for Riemann-Stieltjes integral and for two functions2. Appli- cations related to t[r] ...
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A Sharp Bound of the Čebyšev Functional for the Riemann-Stieltjes Integral and Applications
... Applications for quadrature rules including the trapezoid and mid-point rule are given1. Cebyˇ ˇ sev functional, Riemann-Stieltjes integral, Trapezoid and mid- point rules, Quadrature ru[r] ...
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Approximating the Riemann-Stieltjes integral via a Chebyshev type functional
... [11] S. S. Dragomir and I. Fedotov, An inequality of Gr¨ uss type for the Riemann-Stieltjes integral and applications for special means, Tamkang J. Math., 29(4) (1998), 287–292. [12] S. S. Dragomir and I. ...
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An Inequality of Grüss Type for Riemann-Stieltjes Integral and Applications for Special Means
... In this paper we derive a new inequality of Gr¨ uss’ type for Riemann- Stieltjes integral and apply it for special means (logarithmic mean, identric mean, etc...).. 1 Introduction.[r] ...
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Approximation of the Riemann-Stieltjes Integral with (l,L)-Lipschitzian Integrators
... Abstract. Sharp error estimates in approximating the Riemann-Stieltjes in- tegral with (l, L)-Lipschitzian integrators and applications for the ˇ Cebyˇ sev functional are given. Some inequalities that ...
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GENERAL THREE POINTS INEQUALITIES FOR WEIGHTED RIEMANN-STIELTJES INTEGRAL
... [3] P. Cerone, W. S. Cheung and S. S. Dragomir, On Ostrowski type inequalities for Stieltjes integrals with absolutely continuous integrands and integrators of bounded variation, Comput. Math. Appl. 54 (2007), no. ...
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A Generalisation of the Trapezoidal Rule for the Riemann-Stieltjes Integral and Applications
... The following corollary which provides an upper bound for the approximation error in the trapezoid quadrature formula, for f of bounded variation, holds [4].. Corollary 2.[r] ...
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