The representation of sums in closed form can in some cases be achieved through a variety of different methods, including transform techniques, Wâ€“Z methods, Riordan arrays and integralâ€¦ (More)

Some Ostrowski and trapezoid type inequalities for the Stieltjes integral in the case of Lischitzian integrators for both HÃ¶lder continuous and monotoonic integrals are obtained. The dual case isâ€¦ (More)

A generalisation of a perturbed version of the Ostrowski inequality for twice differentiable mappings is studied. It is shown that the error bounds are better than those obtained previously.â€¦ (More)

We investigate the representation of sums of the derivative of the reciprocal of Catalan type numbers in integral form. We show that for various parameter values the sums maybe expressed in closedâ€¦ (More)

In this paper we establish a generalisation of the Ostrowski inequality for monotonic functions that also includes various recent results and apply it for quadrature formulae in Numerical Integration.

We consider sums involving the product of reciprocal binomial coefficient and polynomial terms and develop some double integral identities. In particular cases it is possible to express the sums inâ€¦ (More)

We extend some results of Euler related sums. Integral and closed form representation of sums with products of harmonic numbers and cubed binomial coefficients are developed in terms of Polygammaâ€¦ (More)

Quadratic trigamma functions and reciprocal binomial coeffi cients sums are investigated in this paper. Closed form representations and integral expressions are developed for the infinite series.