A criterion for unimodality.
A curious property of series involving terms of generalized sequences.
A Daniell integral approach to nonstandard Kurzweil-Henstock integral
A workable nonstandard definition of the Kurzweil-Henstock integral is given via a Daniell integral approach. This allows us to study the HL class of functions from . The theory is recovered together with a few new results.
A Darboux property of -approximate partial derivatives.
A d.c. function need not be difference of convex functions
In [2] a delta convex function on is constructed which is strictly differentiable at but it is not representable as a difference of two convex function of this property. We improve this result by constructing a delta convex function of class which cannot be represented as a difference of two convex functions differentiable at 0. Further we give an example of a delta convex function differentiable everywhere which is not strictly differentiable at 0.
A dense subsemigroup of S(R) generated by two elements
A derivative to match the v-integral.
A descriptive, additive modification of Mawhin's integral and the Divergence Theorem with singularities
Modifying Mawhin's definition of the GP-integral we define a well-behaved integral over n-dimensional compact intervals. While its starting definition is of Riemann type, we also establish an equivalent descriptive definition involving characteristic null conditions. This characterization is then used to obtain a quite general form of the divergence theorem.
A descriptive definition of a BV integral in the real line
A descriptive characterization of a Riemann type integral, defined by BV partition of unity, is given and the result is used to prove a version of the controlled convergence theorem.
A descriptive definition of some multidimensional gauge integrals
A direct approach to one variable noncommutative calculus
A direct extension of Meller's calculus.
A discontinuous function with a connected closed graph
A discrete Euler identity.
A discrete Hardy-Laptev-Weidl-type inequality and associated Schrödinger-type operators.
A discrete version of an open problem and several answers.
A dominated convergence theorem for real-valued summable set functions
A double inequality for gamma function.
A Dual Approach for Matrix-Derivatives.
A factored form of complex analytic functions and its application to finding partial fraction decompositions.