IEEE

The Fastest Known First-Order Method for Minimizing Twice Continuously Differentiable Smooth Strongly Convex Functions

Abstract: We consider iterative gradient-based optimization algorithms applied to functions that are smooth and strongly convex. The fastest globally convergent algorithm for this class of functions ...
JSTOR Daily

Continuously Differentiable Curves Detect Limits of Functions of Two Variables

https://doi.org/10.4169/college.math.j.45.1.054 https://www.jstor.org/stable/10.4169/college.math.j.45.1.054 Summary We present a result of Rosenthal, which shows ...
Scientific Research Publishing

A New Filled Function with One Parameter to Solve Global Optimization ()

In this paper, a new filled function with only one parameter is proposed. The main advantages of the new filled function are that it not only can be analyzed easily, but also can be approximated ...
JSTOR Daily

Example of a Monotonic, Everywhere Differentiable Function on ℝ Whose Derivative Is not Continuous

https://doi.org/10.4169/amer.math.monthly.120.06.566 https://www.jstor.org/stable/10.4169/amer.math.monthly.120.06.566 Abstract We construct an example of a monotonic ...
Scientific Research Publishing

Andrica, D. and Piticari, M. (2004) An Extension of the Riemann-Lebesgue Lemma and Some Applications.

ABSTRACT: The asymptotic behavior for a sequence of integrals ∫ a b f( x )g( nx )dx , a,b∈ℝ, as n→∞, is investigated, where f is continuous differentiable function and g is a continuous and periodic ...