A tribute to G. G. Lorentz

On a Problem of G . G . Lorentz

Let C(B) denote the space of real-valued continuous functions on B. At the conference Harmonic Analysis and Approximations held at Nor Amberd in Armenia in September, 1998, the following general problem was posed by Professor George G. Lorentz. Find conditions on finite dimensional subspaces U and V so that U/V is a unicity set in the problem of best uniform approximation to elements of C(B). I...

A tribute to Richard G . Ham

A Tribute to Professor H. G. Widdowson on the Occasion of his Visit to Azarbaijan Shahid Madani University, Tabriz, 2018

There are such great names in language studies as Noam Chomsky, Lev S. Vygotsky, Howard Gardener and Michael Halliday who are widely accredited with having introduced new concepts in linguistics and neighboring disciplines and to whom we remain deeply indebted. In this article which has been written on the occasion of Professor Henry Widdowson's visit in April 2018 to Azarbaijan Shahid Madani U...

Updates on Some Letters of George G. Lorentz to Me

I started my research in approximation theory in a time when George Lorentz was one of the central figures, an undisputed world expert, of the subject. It meant a lot to me that he paid a special attention to my work on polynomial inequalities, Markov and Bernstein type inequalities in particular. A few years later I had a feeling he viewed me as one of the leading experts of Müntz polynomials ...

THE (△,□)-EDGE GRAPH G△,□ OF A GRAPH G

To a simple graph $G=(V,E)$, we correspond a simple graph $G_{triangle,square}$ whose vertex set is ${{x,y}: x,yin V}$ and two vertices ${x,y},{z,w}in G_{triangle,square}$ are adjacent if and only if ${x,z},{x,w},{y,z},{y,w}in Vcup E$. The graph $G_{triangle,square}$ is called the $(triangle,square)$-edge graph of the graph $G$. In this paper, our ultimate goal is to provide a link between the ...