On the generalizations of two Ozeki's results
On the Generalized Banach Indicatrix
On the Generalized Confluent Hypergeometric Function and Its Application
2000 Mathematics Subject Classification: 26A33, 33C20This paper is devoted to further development of important case of Wright’s hypergeometric function and its applications to the generalization of Γ-, B-, ψ-, ζ-, Volterra functions.
On the guaranteed convergence of the Japanese zero-finding method.
On the Hadamard's inequality for log-convex functions on the coordinates.
On the Hartogs-Bochner extension phenomenon for differential forms.
On the Heisenberg-Weyl inequality.
On the Hermite-Hadamard inequality and other integral inequalities involving two functions.
On the hierarchies of Δ20-real numbers
A real number x is called Δ20 if its binary expansion corresponds to a Δ20-set of natural numbers. Such reals are just the limits of computable sequences of rational numbers and hence also called computably approximable. Depending on how fast the sequences converge, Δ20-reals have different levels of effectiveness. This leads to various hierarchies of Δ20 reals. In this survey paper we summarize several recent developments related to such kind of hierarchies shown by the author and his collaborators. ...
On the Hilbert inequality.
On the Hilbert inequality.
On the homogeneous functions with two parameters and its monotonicity.
On the identric and logarithmic means.
On the impossibility of approximating convex functions with ones.
On the Inequality ... .
On the inequality of Mathieu.
On the inequality of Mathieu.
On the inequality of P. Turán for Legendre polynomials.
On the inequality of the difference of two integral means and applications for pdfs.
On the Inequality ...pi f(pi) > piif(qi).