On Approximation of the Riemann-Stieltjes Integral and Applications

Mohammad Wajeeh Alomari

Displaying similar documents to “On Approximation of the Riemann-Stieltjes Integral and Applications”

Bounds for Convex Functions of Čebyšev Functional Via Sonin's Identity with Applications

Silvestru Sever Dragomir (2014)

Communications in Mathematics

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Some new bounds for the Čebyšev functional in terms of the Lebesgue norms ${∥f - \frac{1}{b - a} \int_{a}^{b} f (t) d t∥}_{[a, b], p}$ and the $Δ$ -seminorms ${∥ f ∥}_{p}^{Δ} : = {(\int_{a}^{b} \int_{a}^{b} {| f (t) - f (s) |}^{p} d t d s)}^{\frac{1}{p}}$ are established. Applications for mid-point and trapezoid inequalities are provided as well.

Some double integral inequalities and applications.

Ujević, N. (2002)

Acta Mathematica Universitatis Comenianae. New Series

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Extended Riemann Integral of Functions of Real Variable and One-sided Laplace Transform

Masahiko Yamazaki, Hiroshi Yamazaki, Yasunari Shidama (2008)

Formalized Mathematics

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In this article, we defined a variety of extended Riemann integrals and proved that such integration is linear. Furthermore, we defined the one-sided Laplace transform and proved the linearity of that operator.MML identifier: INTEGR10, version: 7.9.01 4.101.1015