Exterior Euler summability

A Tauberian Theorem for the Generalized Nörlund-euler Summability Method

Let (pn) and (qn) be any two non-negative real sequences with Rn := n ∑ k=0 pkqn−k 6= 0 (n ∈ N). And E1 n− Euler summability method. Let (xn) be a sequence of real or complex numbers and set N p,qE 1 n := 1 Rn n ∑

Conservation Laws for Euler-lagrange Exterior Differential Systems

The calculus of variations is a powerful tool PDE, allowing detailed analysis when applicable. In this series of 2 talks I will explain how to describe them in a coordinate free manner using exterior differential systems. Using this we will be describe a particularly nice formulation of Noether’s theorem describing the space of conservation laws. From this we will be able to derive some nice co...

Exterior Differential Systems and Euler-Lagrange Partial Differential Equations

Preface During the 1996-97 academic year, Phillip Griffiths and Robert Bryant conducted a seminar at the Institute for Advanced Study in Princeton, NJ, outlining their recent work (with Lucas Hsu) on a geometric approach to the calculus of variations in several variables. The present work is an outgrowth of that project; it includes all of the material presented in the seminar, with numerous ad...

Approximation of Functions by Matrix-euler Summability Means of Fourier Series in Generalized Hölder Metric

In this paper, a new estimate for the degree of trignometric approximation of a function f ∈ H r , (r ≥ 1) class by Matrix-Euler means (∆.E1) of its Fourier Series has been determined.

Summability in topological spaces