@Article{Agarwal2016, author="R. P. Agarwal, S. I. Bradanović, J. Pečarić ", title="Generalizations of Sherman’s inequality by Lidstone’s interpolating polynomial", journal=" J. Inequal. Appl.", year="2016", pages=" 18 pages.", volume="2016" } @Book{Agarwal1993, author="R. P. Agarwal, P. J. Y. Wong ", title="Error Inequalities in Polynomial Interpolation and their Applications", year="1993", publisher=" Kluwer Academic Publishers", address="Dordrecht" } @Article{Aras-Gazić2013, author="G. Aras-Gazić, V. Čuljak, J. Pečarić, A. Vukelić ", title="Generalization of Jensen’s inequality by Lidstone’s polynomial and related results", journal="Math. Inequal. Appl.", year="2013", pages=" 1243–1267", volume="16" } @Book{Cerone 2006, author="P. Cerone ", title="On Čebyšev functional bounds ", year="2006", publisher="Differential & difference equations and applications, 267-277, Hindawi Publ. Corp.", address="New York" } @Article{Cerone2014, author="P. Cerone, S. S. Dragomir", title="Some new Ostrowski-type bounds for the Čebyšev functional and applications", journal=" J. Math. Inequal.", year="2014", pages="159–170.", volume="8" } @Book{Davidson2002, author="K. R. Davidson, A. P. Donsig", title="Real Analysis with Real Applications", year="2002", publisher=" Prentice Hall", address="Upper Saddle River" } @Article{Fuchs 1947, author="L. Fuchs ", title="A new proof of an inequality of Hardy-Littlewood-Polya", journal="Mat. Tidsskr, B ", year="1947", pages=" 53–54.", volume="" } @Book{Hardy1952, author="G. H. Hardy, J. E. Littlewood, G. Pólya ", title="Inequalities ", year="1952", publisher="Second ed., Cambridge University Press", address="London and New York" } @Article{Jakšetić2013, author="J. Jakšetić, J. Pečarić ", title="Exponential convexity method", journal="J. Convex Anal.", year="2013", pages="181–197.", volume="20" } @Book{Karlin 1968, author="S. Karlin ", title="Total Positivity ", year="1968", publisher="Stanford Univ. Press", address="Stanford" } @Article{Khan2012, author="A. R. Khan, N. Latif, J. Pečarić", title=" Exponential convexity for majorization", journal=" J. Inequal. Appl.", year="2012", pages="13 pages.", volume="2012" } @Article{Khan2014, author="A. R. Khan, N. Latif, J. Pečarić", title=" n-exponential convexity for Favard’s and Berwald’s inequalities and their applications", journal="Adv. Inequal. Appl.", year="2014", pages=" 21 pages.", volume="2014" } @Article{Khan2013, author="M. A. Khan, N. Latif, I. Perić, J. Pečarić ", title="On majorization for matrices", journal="Math. Balkanica", year="2013", pages=" 3–19.", volume="27" } @Article{Khan2014, author="K. A. Khan, J. Pečarić, I. Perić", title=" Generalization of Popoviciu Type Inequalities for Symmetric Means generated by Convex Function", journal=" J. Math. Comput. Sci.", year="2014", pages=" 1091–1113.", volume="4" } @Article{Mahmood2017, author="N. Mahmood, R. P. Agarwal, S. I. Butt, J. Pečarić ", title="New Generalization of Popoviciu type inequalities via new Green functions and Montgomery identity ", journal="J. Inequal. Appl.", year="2017", pages=" 17 pages.", volume="2017" } @Book{Marshall2011, author="A. W. Marshall, I. Olkin, B. C. Arnold ", title="Inequalities: Theory of Majorization and Its Applications", year="2011", publisher=" Second Ed., Springer", address=" New York" } @Book{Pečarić1992, author="J. Pečarić, F. Proschan, Y. L. Tong, ", title="Convex functions ", year="1992", publisher="Partial Orderings and Statistical Applications, Academic Press", address="Boston" } @Article{Popoviciu1934, author="T. Popoviciu", title=" Sur l’approximation des fonctions convexes d’ordre superier", journal="Mathematica", year="1934", pages="49–54.", volume="10" } @Article{Widder1942, author="D. V. Widder", title="Completely convex function and Lidstone series", journal=" Trans. Amer. Math. Soc.", year="1942", pages=" 387–398.", volume="51" }