A simultaneous solution to two problems of derivatives.
A step to Kurzweil-Henstock—an outline
A short approach to the Kurzweil-Henstock integral is outlined, based on approximating a real function on a compact interval by suitable step-functions, and using filterbase convergence to define the integral. The properties of the integral are then easy to establish.
A strong boundedness result for separable Rosenthal compacta
It is proved that the class of separable Rosenthal compacta on the Cantor set having a uniformly bounded dense sequence of continuous functions is strongly bounded.
A study of -Laguerre polynomials through the -operator
The present paper deals with certain generating functions and recurrence relations for -Laguerre polynomials through the use of the -operator introduced in an earlier paper [7].
A subset of metric preserving functions.
A supplement to the paper "Differentiable roads for real functions" by J. G. Ceder
A Synopsis of Elementary Results in Pure Mathematics [Book]
A system of partial differential equations with fractional derivatives.
A theorem of Galambos-Bojanić-Seneta type.
A theorem of Šarkovskii characterizing continuous maps of zero topological entropy
A theory of linear differential equations with fractional derivatives
A theory of non-absolutely convergent integrals in Rn with singularities on a regular boundary
Specializing a recently developed axiomatic theory of non-absolutely convergent integrals in , we are led to an integration process over quite general sets with a regular boundary. The integral enjoys all the usual properties and yields the divergence theorem for vector-valued functions with singularities in a most general form.
A two-sided estimate of .
A typical property of the symmetric differential quotient
A Unified Theory of Regularly Varying Sequences.
A variant of Jensen's inequality.
A variant of Jensen-Steffensen's inequality for convex and superquadratic functions.
A well-rounded linear function.
A -porous set need not be -bilaterally porous
A closed subset of the real line which is right porous but is not -left-porous is constructed.
Abel's equation and regular growth: Variations on a theme by Abel.