A certain class of quadratures.
A symbolic operator approach to power series transformation-expansion formulas.
About Fejér's sum.
Approximating real Pochhammer products: a comparison with powers
Accurate estimates of real Pochhammer products, lower (falling) and upper (rising), are presented. Double inequalities comparing the Pochhammer products with powers are given. Several examples showing how to use the established approximations are stated.
Asymptotic behaviors of intermediate points in the remainder of the Euler-Maclaurin formula.
Asymptotic expressions for remainder terms of some quadrature rules
Asymptotic expressions for remainder terms of the mid-point, trapezoid and Simpson’s rules are given. Corresponding formulas with finite sums are also given.