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The Bernstein operational matrix of integration
The Bernstein polynomials Operational matrix
2010/9/17
An accurate method is proposed to solve problems such as identification, analysis and optimal control using the Bernstein orthonormal polynomials operational matrix of integration. The Bernstein polyn...
Integration of Highly Oscillatory Problems Through G-Functions
Numerical solutions of ODE's Highly accurate solutions Highly oscillatory problems
2008/11/10
Perturbed harmonic oscillators describe many models in physics and engineering. A method for solving this type of problem is based on the utilization of Scheifele's functions, consisting of a refineme...
Estimation for Bounded Solutions of Integral Inequalities Involving Infinite Integration Limits
Nonlinear integral inequality Infinite integration limit Explicit bound on solutions
2008/7/1
Some integral inequalities with infinite integration limits are established as generalizations of a known result due to B.G. Pachpatte.
On an Integration-by-parts Formula for Measures
Integration-by-parts formula Harmonic sequences Inequalities
2008/6/30
An integration-by-parts formula, involving finite Borel measures supported by intervals on real line, is proved. Some applications to Ostrowski-type and Grüss-type inequalities are presented.
Some Inequalities Connected with an Approximate Integration
Hadamard inequality Convex functions Delta-convex functions Approximate integration Midpoint Rule Trapezoidal Rule Simpson's Rule
2008/6/27
Some classical and new inequalities of an approximate integration are obtained with use of Hadamard type inequalities and delta-convex functions of higher orders.