On a symmetrized definite integration
Copyright policy )On a symmetrized definite integration
The result reported in the present paper is based on an extension of Riemann's integration (as an alternative to Lebesgue's integration), that involves a direct projection of the curve of \(f(x)\) on the \(y= x\) line itself. Evaluation of this integral is shown to be related to the solution of nonlinear Cauchy problem and/or a nonlinear functional differential equation.
Lebesgue integral, nonlinear Cauchy problems, symmetrized integral, nonlinear functional differential equations, Integrals of Riemann, Stieltjes and Lebesgue type, extension of the Riemann integral
Lebesgue integral, nonlinear Cauchy problems, symmetrized integral, nonlinear functional differential equations, Integrals of Riemann, Stieltjes and Lebesgue type, extension of the Riemann integral
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