Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Nenad Ujević"'
Autor:
Nenad Ujević
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2005, Iss 23, Pp 3835-3847 (2005)
Externí odkaz:
https://doaj.org/article/a688e3321b7546dbb57d9eb6aa7d034d
Autor:
Nenad Ujević
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 32, Iss 8, Pp 491-500 (2002)
Two perturbations of an Ostrowski type inequality are established. New error bounds for the mid-point, trapezoid, and Simpson quadrature rules are derived. These error bounds can be much better than some recently obtained bounds. Applications in nume
Externí odkaz:
https://doaj.org/article/328b1df87f7b42c38fe47864a4953758
Autor:
Nenad Ujević
Publikováno v:
Journal of Computational and Applied Mathematics. 201:208-216
An iterative method for finding a solution of the equation f(x)=0 is presented. The method is based on some specially derived quadrature rules. It is shown that the method can give better results than the Newton method.
Autor:
Nenad Ujević
Publikováno v:
Applied Mathematics Letters. 19(1):32-37
A generalized trapezoid rule is derived. Various error bounds for this rule are established.
Autor:
Nenad Ujević
Publikováno v:
Computational Methods in Applied Mathematics. 5:97-104
A generalization of the corrected mid-point rule is derived. Various error bounds for this generalization are established.
Autor:
Nenad Ujević
Publikováno v:
Journal of Applied Mathematics and Computing. 14:213-223
Double integral inequalities of Simpson type are obtained. These inequalities are sharp. Applications in numerical integration are given.
Autor:
Nenad Ujević
Publikováno v:
gmj. 11:187-194
Two sharp inequalities of Simpson type are established. Applications in numerical integration are also given.
Autor:
Nenad Ujević
Publikováno v:
Applied Mathematics Letters. 17:133-137
A new generalization of Ostrowski's integral inequality is established. A consequence of the generalization is that we can derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae. These estimates are improvements
Autor:
Nenad Ujević
Publikováno v:
Periodica Mathematica Hungarica. 49:141-149
Upper and lower error bounds for an optimal 2-point quadrature rule of open type are derived. These error bounds are sharp. Applications in numerical integration are given
Autor:
Nenad Ujević
Publikováno v:
Computers & Mathematics with Applications. 46(2-3):421-427
Some new bounds for the first inequality of Ostrowski-Gruss type are derived. These new bounds can be much better than some recently obtained bounds. Applications in numerical integration are also given.