{"title":"P极小结构中的ojasewicz不等式","authors":"A. Srhir","doi":"10.54379/jiasf-2021-4-2","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":43883,"journal":{"name":"Journal of Inequalities and Special Functions","volume":" ","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"ŁOJASIEWICZ INEQUALITY IN P-MINIMAL STRUCTURES\",\"authors\":\"A. Srhir\",\"doi\":\"10.54379/jiasf-2021-4-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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.\",\"PeriodicalId\":43883,\"journal\":{\"name\":\"Journal of Inequalities and Special Functions\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2021-12-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Inequalities and Special Functions\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.54379/jiasf-2021-4-2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Inequalities and Special Functions","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.54379/jiasf-2021-4-2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
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.