Ministry of Science and Education Republic of Azerbaijan
Institute of Mathematics and Mechanics

Announcement

The International scientific conference "XI Modern Problems of Mathematics and Mechanics" will be held under the organization of the Institute of Mathematics and Mechanics, dedicated to the memory of Nasireddin Tusi, a brilliant Azerbaijani scientist and thinker who lived in the 13th century.
The conference is planned to be held on July 03-06, 2024 in Baku.

The joint paper of researchers of IMM was published in a prestigious and in one of the oldest mathematical journals

14/09/2023

A paper coauthored by prof. Vugar Ismailov – head of the department of “Function Theory”, Aida Asgarova (PhD) – researcher of the department of “Function Theory”, and Ali Huseynli (PhD) – senior researcher of the department of “Non-Harmonic Analysis” was published in “Proceedings of the Edinburgh Mathematical Society”, a prestigious and one of the oldest (since 1884) mathematical journals in the world. “Proceedings of the Edinburgh Mathematical Society” is a journal of Edinburgh Mathematical Society (founded in 1883) and is published by “Cambridge University Press”.

In the work a Chebyshev type alternation problem for best approximation by a sum of two closed subalgebras of the space of real-valued continuous functions defined on a compact metric space is investigated.

Let X be a compact metric space, C(X) be the space of continuous real-valued functions on X, and A1,A2 be two closed subalgebras of C(X) containing constant functions. The problem of approximation of a function f ∈ C(X) by elements from A1+A2 is considered. We prove a Chebyshev type alternation theorem for a function u0 ∈ A1+A2 to be a best approximation to f.

(see https://doi.org/10.1017/S0013091523000494)

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