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.
About an estimation problem of Zahorski
About solutions of a functional equation.
About some properties of intermediate point in certain mean-value formulas.
About the existence and uniqueness of solution to fractional Bürger's equation.
About the Maximum and the Minimum of Darboux Functions