The main results of this paper establish the superdense unbounded divergence of some discrete best approximation operators. 2000 Mathematics Subject Classification: 41A10.

We give an elementary proof of the Mazur-TateTeitelbaum conjecture for elliptic curves by using Kato’s element. 2000 Mathematics Subject Classification: 11F85, 11G05, 11G07, 11G40, 11S40.

We prove certain new inequalities for special means of two arguments, including the identric, arithmetic, and geometric means. 2000 Mathematics Subject Classification. Primary 26D99, 65D32.

We present a simple method for evaluation of multiple Euler sums in terms of single and double zeta values. 2000 Mathematics Subject Classification. 11M99, 40B05.

The aim of this paper is presenting the evolution of the results regarding the boundeness of Cesàro operators. 2000 Mathematics Subject Classification: 05A40

For an irreducible polynomial in at most two variables the problem of representing power-free integers is investigated. Mathematics Subject Classification (2000). 11N32.

We investigate strong dichotomical behaviour of the number of equivalence classes and related cardinal. Saharon: compare with Journal proofs! 2000 Mathematics Subject Classification. 20K99

We obtain new average results on the conjectures of Lang-Trotter and Sato-Tate about elliptic curves. Mathematics Subject Classification (2000): 11G05

This paper uses topological degree methods to prove the existence of periodic solutions of some quaternionic-valued ordinary differential equations. Mathematics Subject Classification (2000). 34C25, 11R52

In this paper optimal inequalities between Seiffert’s mean and power means are derived using a simple monotony property. Mathematics subject classification (2000): 26E60, 26D05.