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 - Levinson, N. PY - 1969 DA - 1969// TI - Generalization of an inequality of Kay Fan JO - J. Math. Anal. Appl. VL - 6 ID - Levinson1969 ER - TY - BOOK AU - Mitrinović, D. S. AU - Pečarić, J. AU - Fink, A. M. PY - 1993 DA - 1993// TI - Classical and New Inequalities in Analysis PB - Kluwer Academic CY - Dordrecht UR - https://doi.org/10.1007/978-94-017-1043-5 DO - 10.1007/978-94-017-1043-5 ID - Mitrinović1993 ER - TY - JOUR AU - Popoviciu, T. PY - 1969 DA - 1969// TI - Sur une inegalite de N. Levinson JO - Mathematica VL - 6 ID - Popoviciu1969 ER - TY - STD TI - Bullen, P.S.: An inequality of N. Levinson. Publ. Elektroteh. Fak. Univ. Beogr., Ser. Mat. Fiz. 109–112 (1973) ID - ref5 ER - TY - STD TI - Pečarić, J.: On an inequality on N. Levinson. Publ. Elektroteh. Fak. Univ. Beogr., Ser. Mat. Fiz. 71–74 (1980) ID - ref6 ER - TY - JOUR AU - Mercer, A. M. c. D. PY - 2003 DA - 2003// TI - A variant of Jensen’s inequality JO - J. Inequal. Pure Appl. Math. VL - 4 ID - Mercer2003 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 UR - https://doi.org/10.1007/978-94-011-2026-5 DO - 10.1007/978-94-011-2026-5 ID - Agarwal1993 ER - TY - JOUR AU - Beesack, P. PY - 1962 DA - 1962// TI - On the Green’s function of an N-point boundary value problem JO - Pac. J. Math. VL - 12 UR - https://doi.org/10.2140/pjm.1962.12.801 DO - 10.2140/pjm.1962.12.801 ID - Beesack1962 ER - TY - JOUR AU - Levin, A. Y. PY - 1963 DA - 1963// TI - Some problems bearing on the oscillation of solution of linear differential equations JO - Sov. Math. Dokl. VL - 4 ID - Levin1963 ER - TY - JOUR AU - Pečarić, J. AU - Praljak, M. AU - Witkowski, A. PY - 2015 DA - 2015// TI - Generalized Levinson’s inequality and exponential convexity JO - Opusc. Math. VL - 35 UR - https://doi.org/10.7494/OpMath.2015.35.3.397 DO - 10.7494/OpMath.2015.35.3.397 ID - Pečarić2015 ER - TY - JOUR AU - Pečarić, J. AU - Praljak, M. AU - Witkowski, A. PY - 2015 DA - 2015// TI - Linear operators inequality for n-convex functions at a point JO - Math. Inequal. Appl. VL - 18 ID - Pečarić2015 ER - TY - JOUR AU - Khan, M. A. AU - Pečarić, Ð. AU - Pečarić, J. PY - 2019 DA - 2019// TI - Bounds for Csiszár divergence and hybrid Zipf–Mandelbrot entropies JO - Math. Methods Appl. Sci. VL - 42 UR - https://doi.org/10.1002/mma.5858 DO - 10.1002/mma.5858 ID - Khan2019 ER - TY - JOUR AU - Khan, M. A. AU - Hanif, M. AU - Khan, Z. A. AU - Ahmad, K. AU - Chu, Y. M. PY - 2019 DA - 2019// TI - Association of Jensen inequality for s-convex function JO - J. Inequal. Appl. VL - 2019 UR - https://doi.org/10.1186/s13660-019-2123-6 DO - 10.1186/s13660-019-2123-6 ID - Khan2019 ER - TY - JOUR AU - Mehmood, N. AU - Butt, S. I. AU - Pečarić, Ð. AU - Pečarić, J. PY - 2020 DA - 2020// TI - Generalization of cyclic refinements of Jensen’s inequality by Lidstone’s polynomial with applications in information theory JO - J. Math. Inequal. VL - 14 UR - https://doi.org/10.7153/jmi-2020-14-17 DO - 10.7153/jmi-2020-14-17 ID - Mehmood2020 ER - TY - JOUR AU - Butt, S. I. AU - Mehmood, N. AU - Pečarić, Ð. AU - Pečarić, J. PY - 2019 DA - 2019// TI - New bounds for Shannon, relative and Mandelbrot entropies via Abel–Gontscharoff interpolating polynomial JO - Math. Inequal. Appl. VL - 22 ID - Butt2019 ER - TY - JOUR AU - Butt, S. I. AU - Khan, K. A. AU - Pečarić, J. PY - 2015 DA - 2015// TI - Generalization of Popoviciu inequality for higher order convex function via Taylor’s polynomial JO - Acta Univ. Apulensis, Mat.-Inform. VL - 42 ID - Butt2015 ER - TY - BOOK AU - Liese, F. AU - Vajda, I. PY - 1987 DA - 1987// TI - Convex Statistical Distances PB - Teubner CY - Leipzig ID - Liese1987 ER - TY - BOOK AU - Vajda, I. PY - 1989 DA - 1989// TI - Theory of Statistical Inference and Information PB - Kluwer CY - Dordrecht ID - Vajda1989 ER - TY - JOUR AU - Khan, M. A. AU - Mohammad, Z. AU - Sahwi, A. AU - Chu, Y. M. PY - 2018 DA - 2018// TI - New estimations for Shannon and Zipf-Mandelbrot entropies JO - Entropy VL - 20 ID - Khan2018 ER - TY - JOUR AU - Khan, M. A. AU - Pečarić, Ð. AU - Pečarić, J. PY - 2018 DA - 2018// TI - On Zipf–Mandelbrot entropies JO - J. Comput. Appl. Math. VL - 346 ID - Khan2018 ER - TY - JOUR AU - Khan, M. A. AU - Pečarić, Ð. AU - Pečarić, J. PY - 2017 DA - 2017// TI - Bounds for Shannon and Zipf–Mandelbrot entropies JO - Math. Methods Appl. Sci. VL - 40 UR - https://doi.org/10.1002/mma.4531 DO - 10.1002/mma.4531 ID - Khan2017 ER - 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 UR - https://doi.org/10.1186/s13660-019-2186-4 DO - 10.1186/s13660-019-2186-4 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 UR - https://doi.org/10.1186/s13662-019-2360-5 DO - 10.1186/s13662-019-2360-5 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 UR - https://doi.org/10.1186/s13662-020-2501-x DO - 10.1186/s13662-020-2501-x ID - Adeel2020 ER - TY - JOUR AU - Khan, K. A. AU - Niaz, T. AU - Pečarić, Ð. AU - Pečarić, J. PY - 2018 DA - 2018// TI - Refinement of Jensen’s inequality and estimation of f- and Rényi divergence via Montgomery identity JO - J. Inequal. Appl. VL - 2018 UR - https://doi.org/10.1186/s13660-018-1902-9 DO - 10.1186/s13660-018-1902-9 ID - Khan2018 ER - TY - JOUR AU - Gibbs, A. L. PY - 2002 DA - 2002// TI - On choosing and bounding probability metrics JO - Int. Stat. Rev. VL - 70 UR - https://doi.org/10.1111/j.1751-5823.2002.tb00178.x DO - 10.1111/j.1751-5823.2002.tb00178.x ID - Gibbs2002 ER - TY - JOUR AU - Sason, I. AU - Verdú, S. PY - 2016 DA - 2016// TI - f-Divergence inequalities JO - IEEE Trans. Inf. Theory VL - 62 UR - https://doi.org/10.1109/TIT.2016.2603151 DO - 10.1109/TIT.2016.2603151 ID - Sason2016 ER - TY - CHAP AU - Csiszár, I. PY - 1978 DA - 1978// TI - Information measures: a critical survey BT - Tans. 7th Prague Conf. on Info. Th., Statist. Decis. Funct., Random Process and 8th European Meeting of Statist., Vol. B PB - Academia CY - Prague ID - Csiszár1978 ER - TY - JOUR AU - Csiszár, I. PY - 1967 DA - 1967// TI - Information-type measures of difference of probability distributions and indirect observations JO - Studia Sci. Math. Hung. VL - 2 ID - Csiszár1967 ER - TY - JOUR AU - Horváth, L. AU - Pečarić, Ð. AU - Pečarić, J. PY - 2019 DA - 2019// TI - Estimations of f- and Rényi divergences by using a cyclic refinement of the Jensen’s inequality JO - Bull. Malays. Math. Sci. Soc. VL - 42 UR - https://doi.org/10.1007/s40840-017-0526-4 DO - 10.1007/s40840-017-0526-4 ID - Horváth2019 ER -