Results 11 to 20 of about 84 (45)
The General Theory of Superoscillations and Supershifts in Several Variables [PDF]
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]
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]
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]
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]
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]
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
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]
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
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