Steffensen’s and Related Inequalities

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Knjiga Steffensen’s and related inequalities, autora Josipa Pečarića, Ksenije Smoljak i Sanje Varošanec, nastala je na temelju znanstvenih radova navedenih autora na temu Steffensenove nejednakosti i njezinih proširenja i poopćenja. U knjizi je dan kompletan povijesni uvid u razvoj ove nejednakosti, a ono po čemu je specifičan jest da su rezultati dokazani. Tako je ova knjiga postala zanimljiva ne samo matematičarima koji su u svom radu usko vezani uz Steffensenovu nejednakost, nego i svima onima koji se bave teorijom nejednakosti i primjenama.

Since its appearance in 1918, Steffensen’s inequality is the subject of investigation by numerous mathematicians. The book is devoted to generalizations and refinements of Steffensen’s inequality and its connection to other inequalities, such as Gauss’, Jensen-Steffensen’s, Hölder’s and Iyengar’s inequality. A brief historical overview and a survey of weaker conditions for inverse Steffensen’s inequality is given. The book also contains Lp generalizations, generalizations for convex functions, refinements and sharpened versions, multidimensional generalizations and measure spaces generalizations of Steffensen’s inequality.