A generalization of general two-point formula with applications in numerical integration (CROSBI ID 130344)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Kovač, Sanja ; Pečarić, Josip ; Vukelić, Ana
engleski
A generalization of general two-point formula with applications in numerical integration
We derive a general two-point integral quadrature formula using the concept of harmonic polynomials. Improved version of Guessab and Schmeisser's result is given with new integral inequalities involving functions whose derivatives belong to various classes of functions ($L_p$ spaces, convex, concave, bounded functions). Furthermore, several special cases of polynomials are considered, and the generalization of well-known two-point quadrature formulae, such as trapezoid, perturbed trapezoid, two-point Newton-Cotes formula, two-point Maclaurin formula, midpoint, are obtained.
general two-point formula; harmonic polynomials; $L^p$ estimates; Hadamard and Dragomir-Agarwal type inequalities; non-symmetric bounds
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
68 (8)
2008.
2445-2463
objavljeno
0362-546X
/10.1016/j.na.2007.01.069