Results 321 to 330 of about 12,319,152 (351)

On the Sum of Differentiable Functions

Mathematical Proceedings of the Cambridge Philosophical Society, 1962
Ryll-Nardzewski has proposed the following problem (New Scottish Book, no. 119). If fn(x) are continuous, differentiable* functions in a closed finite interval, do there always exist constants cn (no cn = 0) (depending on the ), such that converges and is also a continuous differentiable function?
openaire   +2 more sources

The Differentiability of Riemann's Function

Proceedings of the American Mathematical Society, 1972
The functiong(x)= :P%-= (sin 7rp2X/7rp2), thought by Riemann to be nowhere differentiable, is shown to be differentiable only at rational points expressible as the ratio of odd integers. The proof depends on properties of Gaussian sums, and these properties enable us to give a complete discussion of the possible existence of left and right derivatives ...
openaire   +1 more source

Extension of differentiable functions

1985
If a real function f is differentiable on a perfect subset H of the real line, then f' is Baire 1 on H and f can be extended to R as an everywhere differentiable function. The authors have studied similar questions for functions of several variables.
AVERSA, VINCENZO LIBERO, LACZKOVICH M., PREISS D.   +2 more
openaire   +2 more sources

Evaluating an element of the Clarke generalized Jacobian of a composite piecewise differentiable function

TOMS, 2013
Kamil A. Khan, P. I. Barton
semanticscholar   +1 more source

A continuously differentiable filled function method for global optimization

Numerical Algorithms, 2014
Hongwei Lin, Yuelin Gao, Yuping Wang
semanticscholar   +1 more source

On a Functional Differential Equation

IMA Journal of Applied Mathematics, 1971
Fox, L., Mayers, D. F., Ockendon, J. R., Tayler, A. B.   +3 more
openaire   +5 more sources

On the Fractional Differentiability of Functions

Proceedings of the London Mathematical Society, 1965
Stein, Elias M., Zygmund, Antoni
openaire   +1 more source

Scoring noncovalent protein-ligand interactions: A continuous differentiable function tuned to compute binding affinities

J. Comput. Aided Mol. Des., 1996
Ajay N. Jain
semanticscholar   +1 more source

On Ideals of Differentiable Functions

American Journal of Mathematics, 1948
openaire   +2 more sources

A minimization method for the sum of a convex function and a continuously differentiable function

, 1981
H. Mine, M. Fukushima
semanticscholar   +1 more source