Results 11 to 20 of about 84 (45)

The General Theory of Superoscillations and Supershifts in Several Variables [PDF]

open access: yes, 2023
In this paper we describe a general method to generate superoscillatory functions of several variables starting from a superoscillating sequence of one variable.
Colombo, Fabrizio   +3 more
core   +2 more sources

Studies on concave Young-functions [PDF]

open access: yes, 2005
We succeeded to isolate a special class of concave Young-functions enjoying the so-called \emph{density-level property}. In this class there is a proper subset whose members have each the so-called degree of contraction denoted by $c^{\ast}$, and map ...
Agbeko, N. K.
core   +2 more sources

Two closed forms for the Bernoulli polynomials [PDF]

open access: yes, 2015
In the paper, the authors find two closed forms involving the Stirling numbers of the second kind and in terms of a determinant of combinatorial numbers for the Bernoulli polynomials and numbers.Comment: 7 ...
Chapman, Robin J., Qi, Feng
core   +2 more sources

Derivative Polynomials and Closed-Form Higher Derivative Formulae [PDF]

open access: yes, 2009
In a recent paper, Adamchik [V.S. Adamchik, On the Hurwitz function for rational arguments, Appl. Math. Comp. 187 (2007) 3--12] expressed in a closed form symbolic derivatives of four functions belonging to the class of functions whose derivatives are ...
Cvijović, Djurdje
core   +2 more sources

Hermite-Hadamard type inequalities and related inequalities for subadditive functions [PDF]

open access: yes, 2021
In this paper, we establish Hermite-Hadamard inequalities for subadditive functions, and we give some related inequalities according to Hermite-Hadamard inequalities, which generalized the previously published ...
Ali, Muhammad Aamir   +1 more
core   +1 more source

On an alternative d’Alembert’s equation [PDF]

open access: yes, 2019
Roger Cuculi`ere [Problem 11998, The American Mathematical Monthly 124 no. 7 (2017)] has posed the following problem: Find all continuous functions f : R −→ R that satisfy f(z) ≤ 1 for some nonzero real number z and f(x)2 + f(y)2 + f(x + y)2 − 2f(x)f ...
Ger, Roman
core   +1 more source

The Natural Logarithm on Time Scales

open access: yes, 2008
We define an appropriate logarithm function on time scales and present its main properties. This gives answer to a question posed by M. Bohner in [J. Difference Equ. Appl. {\bf 11} (2005), no.
Ahlbrandt C. D.   +5 more
core   +1 more source

Construction of spheres with handles and non-vanishing mean curvature in the euclidean 3-space [PDF]

open access: yes, 2003
Recent results in fully nonlinear pde's single out smooth bounded domains in the euclidean 3-space whose boundary has non-vanishing mean curvature. The literature provides no example of such domains when the genus of the boundary is strictly larger than ...
Delanoë, Philippe
core   +1 more source

Explicit expressions for a family of Bell polynomials and derivatives of some functions

open access: yes, 2014
In the paper, the authors first inductively establish explicit formulas for derivatives of the arc sine function, then derive from these explicit formulas explicit expressions for a family of Bell polynomials related to the square function, and finally ...
Qi, Feng, Zheng, Miao-Miao
core   +1 more source

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