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math.CA2014
New Upper and Lower bounds for the Trapezoid inequality of absolutely continuous functions and Applications
Mohammad W. Alomari
In this paper, new upper and lower bounds for the Trapezoid inequality of absolutely continuous functions are obtained. Applications to some special means are provided as well.
math.CA2014★ 9 cited
New sharp inequalities of Ostrowski and generalized trapezoid type for the Riemann-Stieltjes integrals and applications
Mohammad W. Alomari
In this paper, new sharp weighted generalizations of Ostrowski and generalized trapezoid type inequalities for the Riemann--Stieltjes integrals are proved. Several related inequali…
math.CA2014★ 3 cited
Two point Gauss-Legendre Quadrature Rule for Riemann-Stieltjes integrals
Mohammad W. Alomari
In order to approximate the Riemann--Stieltjes integral by --point Gaussian quadrature rule, we introduce the quadrature rule \b…