SOME INEQUALITIES FOR THE ČEBYŠEV FUNCTIONAL AND GENERAL FOUR-POINT QUADRATURE FORMULAE OF EULER TYPE

Authors

DOI:

https://doi.org/10.37560/matbil14200069kb

Keywords:

Čebyšev functional, general four-point quadrature formulae of Euler type, Euler Bullen-Simpson’s 3/8 formula, Euler Simpson’s 3/8 formula, Euler Simpson’s formula, Euler Gauss 2-point formula

Abstract

We use inequalities for the Čebyšev functional in terms of the first derivative (see [5]), for some new bounds for the remainder of four-point quadrature formulae of Euler type and its generalizations for Euler Bullen-Simpson’s 3/8 formula. As special cases, we consider some new bounds for Euler Simpson’s 3/8 formula, Euler Simpson’s formula and Euler Gauss 2-point formula.

Downloads

Published

2014-01-01

Issue

Vol. 38 No. 2 (2014): 38 (LXIV) 2 (2014)

Section

Articles

License

Copyright (c) 2014 Matematichki Bilten

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
M. Klaričić Bakula, J. Pečarić, M. Ribičić Penava, and A. Vukelić, “SOME INEQUALITIES FOR THE ČEBYŠEV FUNCTIONAL AND GENERAL FOUR-POINT QUADRATURE FORMULAE OF EULER TYPE”, Mat. Bilt., vol. 38, no. 2, pp. 69–80, Jan. 2014, doi: 10.37560/matbil14200069kb.