Über das erweiterte Maximumprinzip
We evaluate the Fresnel integrals by using the Leibniz rule only on a finite interval.
Applications of ideal from Kurzweil-Henstock integration to elementary analysis on , mean value theorems for vector valued functions, l’Hospital rule, theorems of Taylor type and path independence of line integrals are discussed.
In the paper an elementary and simple proof of the Fundamental Theorem of Algebra is given.
In the paper a simple proof of the Weierstrass approximation theorem on a function continuous on a compact interval of the real line is given. The proof is elementary in the sense that it does not use uniform continuity.
For a merely continuous partition of unity the PU integral is the Lebesgue integral.
Riemann sums based on -fine partitions are illustrated with a Maple procedure.
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