Open AccessŁOJASIEWICZ INEQUALITY IN P-MINIMAL STRUCTURES
Author(s) -
AHMED SRHIR
Publication year - 2021
Publication title -
journal of inequalities and special functions
Language(s) - English
Resource type - Journals
ISSN - 2217-4303
DOI - 10.54379/jiasf-2021-4-2
Subject(s) - mathematics , subclass , inequality , exponent , pure mathematics , mathematical analysis , biology , philosophy , immunology , linguistics , antibody
Th purpose of this paper is to extend the Łojasiewicz inequality for functions definable in some subclass of P-minimal structures. More precisely, we prove that the Łojasiewicz inequality holds for functions definable in poptimal expansions of Qp. It is also shown that the Łojasiewicz exponent is a rational number in such p-optimal expansions.