Jensen's inequality and its applications.
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How to Cite

Jensen’s inequality and its applications. (2024). MEDICINE, PEDAGOGY AND TECHNOLOGY: THEORY AND PRACTICE, 2(7), 90-105. https://universalpublishings.com/index.php/mpttp/article/view/6750

Abstract

Ma’lumki tengsizliklar matematikada katta o’rin egallaydi. Biz ushbu maqolada tengsizliklarda katta o’rin tutgan Yensen tengsizligi haqida yozdik.Shuningdek Yensen tengsizligidan foydalanib bir nechta mashhur tengsizliklarni isbotlash va bir nechta misollarga tadbiqini kiritdik. Bu maqola asosan matematika bilan shug’llanuvchi va xalqaro olimpiadalarga tayyorlanuvchi o’quvchilar uchun mo’ljallangan. Biz daslab Yensen tengsizligiga kirishdan oldin biz uchun muhim bo’lgan funkiyaning qavariqligi haqida biroz ma‘lumotlarni ko’rib chiqamiz.

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References

G.Xudayberganov, A.K.Vorisov, X.T.Mansurov, B.A.Shoimqulov. Matematika analiz

fanidan ma’ruzalar, 1-qism. “Voris-nashriyoti” , Toshkent -2010.

T.Azlarov, X.Mansurov. Matematika analiz, 1-qism. Toshkent-1995.

Zdravko Cvetkovski,"Inequalities",Springer-Verlag Berlin Heidelberg 2012.

Sh. Ismailov, O. Ibrogimov. Tengsizliklar-II. Isbotlashning zamonaviy usullari,

Toshkent, 2008 y.

Hayk Sedrakyan,Nairi Sedrakyan,Algebraic Inequalities,Springer International Publishing AG, part of Springer Nature 2018.