TY - JOUR AU - Adeel, M. AU - Khan, K. A. AU - Pečarić, Ð. AU - Pečarić, J. PY - 2019 DA - 2019// TI - Generalization of the Levinson inequality with applications to information theory JO - J. Inequal. Appl. VL - 2019 ID - Adeel2019 ER - TY - JOUR AU - Adeel, M. AU - Khan, K. A. AU - Pečarić, Ð. AU - Pečarić, J. PY - 2019 DA - 2019// TI - Levinson type inequalities for higher order convex functions via Abel–Gontscharoff interpolation JO - Adv. Differ. Equ. VL - 2019 ID - Adeel2019 ER - TY - JOUR AU - Adeel, M. AU - Khan, K. A. AU - Pečarić, Ð. AU - Pečarić, J. PY - 2020 DA - 2020// TI - Estimation of f-divergence and Shannon entropy by Levinson type inequalities via new Green’s functions and Lidstone polynomial JO - Adv. Differ. Equ. VL - 2020 ID - Adeel2020 ER - TY - JOUR AU - Adeel, M. AU - Khan, K. A. AU - Pečarić, Ð. AU - Pečarić, J. PY - 2020 DA - 2020// TI - Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial JO - J. Inequal. Appl. VL - 2020 ID - Adeel2020 ER - TY - JOUR AU - Adeel, M. AU - Khan, K. A. AU - Pečarić, Ð. AU - Pečarić, J. PY - 2020 DA - 2020// TI - Estimation of f-divergence and Shannon entropy by Levinson type inequalities for higher order convex functions via Taylor polynomial JO - J. Math. Comput. Sci. VL - 21 ID - Adeel2020 ER - TY - BOOK AU - Agarwal, R. P. AU - Wong, P. J. Y. PY - 1993 DA - 1993// TI - Error Inequalities in Polynomial Interpolation and Their Applications PB - Kluwer Academic CY - Dordrecht ID - Agarwal1993 ER - TY - STD TI - Alberti, P.M., Uhlmann, A.: Stochasticity and partial order: doubly stochastic maps and unitary mixing Dordrecht, Boston (1982) ID - ref7 ER - TY - JOUR AU - Ando, T. PY - 1989 DA - 1989// TI - Majorization, doubly stochastic matrices, and comparison of eigenvalues JO - Linear Algebra Appl. VL - 118 ID - Ando1989 ER - TY - JOUR AU - Ando, T. PY - 1994 DA - 1994// TI - Majorizations and inequalities in matrix theory JO - Linear Algebra Appl. VL - 199 ID - Ando1994 ER - TY - JOUR AU - Bernett, N. S. AU - Cerone, P. AU - Dragomir, S. S. PY - 2009 DA - 2009// TI - Majorization inequalities for Stieltjes integrals JO - Appl. Math. Lett. VL - 22 ID - Bernett2009 ER - TY - JOUR AU - Csiszár, I. PY - 1967 DA - 1967// TI - Information-type measures of differences of probability distributions and indirect observations JO - Studia Sci. Math. Hung. VL - 2 ID - Csiszár1967 ER - TY - CHAP AU - Csiszár, I. PY - 1978 DA - 1978// TI - Information measures: a critical survey BT - Trans. 7th Prague Conf. on Info. Th., Statist. Decis. Funct., Random Processes and 8th European Meeting of Statist., Volume B PB - Academia CY - Prague ID - Csiszár1978 ER - TY - JOUR AU - Fink, A. M. PY - 1992 DA - 1992// TI - Bounds of the deviation of a function from its averages JO - Czechoslov. Math. J. VL - 42 ID - Fink1992 ER - TY - JOUR AU - Fuchs, L. PY - 1947 DA - 1947// TI - A new proof of an inequality of Hardy–Littlewood–Pólya JO - Math. Tidsskr. VL - B ID - Fuchs1947 ER - TY - BOOK AU - Hardy, G. H. AU - Littlewood, J. E. AU - Pólya, G. PY - 1978 DA - 1978// TI - Inequalities PB - Cambridge University Press CY - Cambridge ID - Hardy1978 ER - TY - JOUR AU - Horváth, L. AU - Pečarić, Ð. AU - Pečarić, J. PY - 2018 DA - 2018// TI - Estimations of f-and Rényi divergences by using a cyclic refinement of the Jensen’s inequality JO - Bull. Malays. Math. Sci. Soc. VL - 2018 ID - Horváth2018 ER - TY - JOUR AU - Jakšetić, J. AU - Pečarić, J. PY - 2013 DA - 2013// TI - Exponential convexity method JO - J. Convex Anal. VL - 20 ID - Jakšetić2013 ER - TY - JOUR AU - Jakšetić, J. AU - Pečarić, J. AU - Perušić, A. PY - 2014 DA - 2014// TI - Steffensen inequality, higher order convexity and exponential convexity JO - Rend. Circ. Mat. Palermo VL - 63 ID - Jakšetić2014 ER - TY - JOUR AU - Khalid, S. AU - Pečarić, J. AU - Perić, I. PY - 2018 DA - 2018// TI - Refinements and generalizations of majorization, Favard and Berwald-type inequalities via Fink identity JO - J. Math. Inequal. VL - 12 ID - Khalid2018 ER - TY - BOOK AU - Khan, M. A. AU - Bradanović, S. I. AU - Latif, N. AU - Pečarić, Ð. AU - Pečarić, J. PY - 2019 DA - 2019// TI - Majorization Inequality and Information Theory PB - Element CY - Zagreb ID - Khan2019 ER - TY - JOUR AU - Khan, M. A. AU - Khalid, S. AU - Pečarić, J. PY - 2013 DA - 2013// TI - Refinements of some majorization type inequalities JO - J. Math. Inequal. VL - 7 ID - Khan2013 ER - TY - JOUR AU - Khan, M. A. AU - Latif, N. AU - Pečarić, J. PY - 2015 DA - 2015// TI - Generalization of majorization theorem JO - J. Math. Inequal. VL - 9 ID - Khan2015 ER - TY - JOUR AU - Khan, M. A. AU - Latif, N. AU - Perić, I. AU - Pečarić, J. PY - 2012 DA - 2012// TI - On Sapogov’s extension of Čebyšev’s inequality JO - Thai J. Math. VL - 10 ID - Khan2012 ER - TY - STD TI - Khan, M.A., Latif, N., Perić, I., Pečarić, J.: On majorization for matrices. Math. Balk. 27 (2013), Fasc. 1–2 ID - ref24 ER - TY - JOUR AU - Khan, M. A. AU - Niezgoda, M. AU - Pečarić, J. PY - 2011 DA - 2011// TI - On a refinement of the majorization type inequality JO - Demonstr. Math. VL - 44 ID - Khan2011 ER - TY - JOUR AU - Latif, N. AU - Pečarić, J. AU - Perić, I. PY - 2011 DA - 2011// TI - On majorization, Favard’s and Berwald’s inequalities JO - Ann. Funct. Anal. VL - 2 ID - Latif2011 ER - TY - JOUR AU - Latif, N. AU - Siddique, N. AU - Pečarić, J. PY - 2018 DA - 2018// TI - Generalization of majorization theorem-II JO - J. Math. Inequal. VL - 12 ID - Latif2018 ER - TY - JOUR AU - Maligranda, L. AU - Pečarić, J. AU - Persson, L. E. PY - 1995 DA - 1995// TI - Weighted Favard’s and Berwald’s inequalities JO - J. Math. Anal. Appl. VL - 190 ID - Maligranda1995 ER - TY - BOOK AU - Marshall, A. W. AU - Olkin, I. AU - Arnold, B. C. PY - 2011 DA - 2011// TI - Inequalities: Theory of Majorization and Its Applications PB - Springer CY - New York ID - Marshall2011 ER - TY - JOUR AU - Mehmood, N. AU - Agarwal, R. P. AU - Butt, S. I. AU - Pečarić, J. PY - 2017 DA - 2017// TI - New generalization of Popoviciu type inequalities via new Green functions and Montgomery identity JO - J. Inequal. Appl. VL - 2017 ID - Mehmood2017 ER - TY - JOUR AU - Pečarić, J. PY - 1984 DA - 1984// TI - On some inequalities for functions with nondecreasing increments JO - J. Math. Anal. Appl. VL - 98 ID - Pečarić1984 ER - TY - JOUR AU - Pečarić, J. AU - Perić, J. PY - 2012 DA - 2012// TI - Improvement of the Giaccardi and the Petrović inequality and related Stolarsky type means JO - An. Univ. Craiova, Ser. Mat. Inform. VL - 39 ID - Pečarić2012 ER - TY - BOOK AU - Pečarić, J. AU - Proschan, F. AU - Tong, Y. L. PY - 1992 DA - 1992// TI - Convex Functions, Partial Orderings and Statistical Applications PB - Academic Press CY - New York ID - Pečarić1992 ER - TY - JOUR AU - Siddique, N. AU - Latif, N. AU - Pečarić, J. PY - 2018 DA - 2018// TI - Generalized results of majorization inequality via Lidstone’s polynomial and newly Green functions JO - J. Nonlinear Sci. Appl. VL - 11 ID - Siddique2018 ER -