By Constantine Georgakis, Alexander M. Stokolos, Wilfredo Urbina
ISBN-10: 3319105442
ISBN-13: 9783319105444
ISBN-10: 3319105450
ISBN-13: 9783319105451
This quantity of papers awarded on the convention in honor of Calixto P. Calderón through his neighbors, colleagues, and scholars is meant to make the mathematical neighborhood conscious of his very important scholarly and examine contributions in modern Harmonic research and Mathematical versions utilized to Biology and medication, and to stimulate extra study sooner or later during this region of natural and utilized mathematics.
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Fund. Math. : The exact Peano derivative. Trans. Am. Math. Soc. : On symmetric derivatives in Lp . Stud. Math. 24, 89–100 (1964) Some Non Standard Applications of the Laplace Method Calixto P. Calderón and Wilfredo O. Urbina Summary. In this paper we consider two nonstandard applications of the Laplace method. V. L. Post, from which a maximal theorem is proved. The second one is a special Calderón–Zygmund partition that gives us a genuine generalization of Natanson’s lemma in this context. V. L.
X/ h : The other generalized derivative involving polynomial approximation is the symmetric (Peano) derivative. hn / as h ! hn / as h ! x/. n/ The second level of generalization consists of higher order derivatives that are defined directly as difference quotients. One such generalization is the nth symmetric Riemann derivative. x// . x h/ h 2 Ã Remarks on Various Generalized Derivatives 27 Ã Â h xC3 1 . x/ . 0 n This probably motivated Leibniz’s notation ddxfn . The first and second symmetric Riemann derivatives are the same as the first and second symmetric derivatives.
Dmitrishin et al. t /: The maximal P value of the nonnegative trigonometric polynomial N j D0 aj cos jt; a0 D 1; does not exceed N C 1. t / and only at the points 2 k; k D 0; ˙1; ˙2; : : : . t / are called Fejér kernels and possess a variety of extremal properties. Many papers and book chapters have been published on this subject, and we will not reproduce well-known facts; rather we refer to the nice expository article by D. Dimitrov [5]. The problem of optimal impact on a chaotic regime is a fundamental of nonlinear dynamics.