Dutta, Supriyo; Furuichi, Shigeru On log-sum inequalities. (English) Zbl 07820064 Linear Multilinear Algebra 72, No. 5, 812-827 (2024). MSC: 26Dxx 94A17 PDFBibTeX XMLCite \textit{S. Dutta} and \textit{S. Furuichi}, Linear Multilinear Algebra 72, No. 5, 812--827 (2024; Zbl 07820064) Full Text: DOI arXiv
Tinaztepe, Ramazan An application of Ky Fan inequality: on Kullback-Leibler divergence between a probability distribution and its negation. (English) Zbl 07811278 J. Math. Inequal. 17, No. 4, 1639-1646 (2023). MSC: 94A17 26D07 60E05 PDFBibTeX XMLCite \textit{R. Tinaztepe}, J. Math. Inequal. 17, No. 4, 1639--1646 (2023; Zbl 07811278) Full Text: DOI
Tarik, Lahcen; Raïssouli, Mustapha; Chergui, Mohamed; El Wahbi, Bouazza On some operator inequalities with respect to the \(s\)-convexity. (English) Zbl 07796966 Acta Math. Vietnam. 48, No. 4, 671-690 (2023). MSC: 26D15 47-XX 54C70 94A17 47A63 PDFBibTeX XMLCite \textit{L. Tarik} et al., Acta Math. Vietnam. 48, No. 4, 671--690 (2023; Zbl 07796966) Full Text: DOI
Ivelić Bradanović, Slavica; Pečarić, Đilda; Pečarić, Josip Sherman’s functional, its properties with applications for \(f\)-divergence measure. (English) Zbl 07791172 Math. Inequal. Appl. 26, No. 2, 351-368 (2023). MSC: 94A17 26D15 15B51 PDFBibTeX XMLCite \textit{S. Ivelić Bradanović} et al., Math. Inequal. Appl. 26, No. 2, 351--368 (2023; Zbl 07791172) Full Text: DOI
Bilal, Muhammad; Khan, Khuram Ali; Nosheen, Ammara; Pečarić, Josip Generalizations of Shannon type inequalities via diamond integrals on time scales. (English) Zbl 07772802 J. Inequal. Appl. 2023, Paper No. 24, 19 p. (2023). MSC: 94A17 94A15 26D15 PDFBibTeX XMLCite \textit{M. Bilal} et al., J. Inequal. Appl. 2023, Paper No. 24, 19 p. (2023; Zbl 07772802) Full Text: DOI
Sayyari, Yamin; Dehghanian, Mehdi; Barsam, Hasan New bounds for the Jensen-Dragomir functional with applications in analysis. (English) Zbl 07742080 J. Indian Math. Soc., New Ser. 90, No. 1-2, 175-185 (2023). MSC: 26B25 26D15 94A17 PDFBibTeX XMLCite \textit{Y. Sayyari} et al., J. Indian Math. Soc., New Ser. 90, No. 1--2, 175--185 (2023; Zbl 07742080) Full Text: DOI
Huang, Fan; Tang, Liang; Bai, Ming-Qiang Entropic uncertainty relations for \((N, M)\)-POVMs. (English) Zbl 07719541 Int. J. Theor. Phys. 62, No. 6, Paper No. 126, 14 p. (2023). MSC: 81S07 94A17 81P15 81P45 22E70 PDFBibTeX XMLCite \textit{F. Huang} et al., Int. J. Theor. Phys. 62, No. 6, Paper No. 126, 14 p. (2023; Zbl 07719541) Full Text: DOI
Hussain, Sabir; Rafeeq, Sobia; Chu, Yu-Ming; Khalid, Saba; Saleem, Sahar On some new generalized fractional Bullen-type inequalities with applications. (English) Zbl 1509.26018 J. Inequal. Appl. 2022, Paper No. 138, 23 p. (2022). MSC: 26D15 26A33 26A51 94A17 PDFBibTeX XMLCite \textit{S. Hussain} et al., J. Inequal. Appl. 2022, Paper No. 138, 23 p. (2022; Zbl 1509.26018) Full Text: DOI
Rasheed, T.; Butt, S. I.; Pečarić, Đ.; Pečarić, J. Generalized cyclic Jensen and information inequalities. (English) Zbl 1507.26032 Chaos Solitons Fractals 163, Article ID 112602, 9 p. (2022). MSC: 26D15 94A17 26A51 94A15 26E60 PDFBibTeX XMLCite \textit{T. Rasheed} et al., Chaos Solitons Fractals 163, Article ID 112602, 9 p. (2022; Zbl 1507.26032) Full Text: DOI
Ansari, Iqrar; Khan, Khuram Ali; Nosheen, Ammara; Pečaric, Đilda; Pečarić, Josip Estimation of entropies on time scales by Lidstone’s interpolation using Csiszár-type functional. (English) Zbl 1513.26033 Hacet. J. Math. Stat. 51, No. 3, 817-833 (2022). MSC: 26D15 26A51 34N05 94A17 PDFBibTeX XMLCite \textit{I. Ansari} et al., Hacet. J. Math. Stat. 51, No. 3, 817--833 (2022; Zbl 1513.26033) Full Text: DOI
El Hilali, Abdenbi; Chergui, Mohamed; El Wahbi, Bouazza On some Tsallis relative operator entropy properties related to Hellinger metrics. (English) Zbl 07625529 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, No. 2, 259-273 (2022). MSC: 47-XX 54C70 94A17 47A63 PDFBibTeX XMLCite \textit{A. El Hilali} et al., Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, No. 2, 259--273 (2022; Zbl 07625529) Full Text: DOI
Dragomir, Silvestru Sever Hermite-Hadamard trapezoid and mid-point divergences. (English) Zbl 1496.26028 Daras, Nicholas J. (ed.) et al., Approximation and computation in science and engineering. Cham: Springer. Springer Optim. Appl. 180, 227-251 (2022). MSC: 26D15 94A17 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Springer Optim. Appl. 180, 227--251 (2022; Zbl 1496.26028) Full Text: DOI
Centeno, Hernán; Medina, Juan Miguel A converse sampling theorem in reproducing kernel Banach spaces. (English) Zbl 1500.42015 Sampl. Theory Signal Process. Data Anal. 20, No. 2, Paper No. 8, 19 p. (2022). Reviewer: Nenad Teofanov (Novi Sad) MSC: 42C15 46B15 94A20 PDFBibTeX XMLCite \textit{H. Centeno} and \textit{J. M. Medina}, Sampl. Theory Signal Process. Data Anal. 20, No. 2, Paper No. 8, 19 p. (2022; Zbl 1500.42015) Full Text: DOI
Sayyari, Yamin A refinement of the Jensen-Simic-Mercer inequality with applications to entropy. (English) Zbl 1503.26022 J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 29, No. 1, 51-57 (2022). Reviewer: V. Lokesha (Bangalore) MSC: 26B25 26D15 94A17 PDFBibTeX XMLCite \textit{Y. Sayyari}, J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 29, No. 1, 51--57 (2022; Zbl 1503.26022) Full Text: DOI
Gahlot, Sapna; Saraswat, Ram Naresh A new fuzzy information inequalities and its applications in establishing relation among fuzzy \(f\)-divergence measures. (English) Zbl 1498.94039 Tamkang J. Math. 53, No. 2, 109-126 (2022). MSC: 94A17 94A15 PDFBibTeX XMLCite \textit{S. Gahlot} and \textit{R. N. Saraswat}, Tamkang J. Math. 53, No. 2, 109--126 (2022; Zbl 1498.94039) Full Text: DOI
Vershynina, Anna Closest separable state when measured by a quasi-relative entropy. (English) Zbl 1519.81102 J. Phys. A, Math. Theor. 54, No. 10, Article ID 105301, 18 p. (2021). MSC: 81P42 94A17 81P17 81P40 PDFBibTeX XMLCite \textit{A. Vershynina}, J. Phys. A, Math. Theor. 54, No. 10, Article ID 105301, 18 p. (2021; Zbl 1519.81102) Full Text: DOI arXiv
Ansari, Iqrar; Khan, Khuram Ali; Nosheen, Ammara; Pečarić, Ðilda; Pečarić, Josip Estimation of divergence measures via Weighted Jensen inequality on time scales. (English) Zbl 1504.26041 J. Inequal. Appl. 2021, Paper No. 93, 21 p. (2021). MSC: 26D15 94A17 26E70 PDFBibTeX XMLCite \textit{I. Ansari} et al., J. Inequal. Appl. 2021, Paper No. 93, 21 p. (2021; Zbl 1504.26041) Full Text: DOI
Deng, Yongping; Ullah, Hidayat; Khan, Muhammad Adil; Iqbal, Sajid; Wu, Shanhe Refinements of Jensen’s inequality via majorization results with applications in the information theory. (English) Zbl 1477.26031 J. Math. 2021, Article ID 1951799, 12 p. (2021). MSC: 26D15 26A51 94A17 PDFBibTeX XMLCite \textit{Y. Deng} et al., J. Math. 2021, Article ID 1951799, 12 p. (2021; Zbl 1477.26031) Full Text: DOI
Kian, Mohsen How the type of convexity of the core function affects the Csiszár \(f\)-divergence functional. (English) Zbl 1468.26007 Math. Inequal. Appl. 24, No. 2, 559-570 (2021). MSC: 26B25 26D15 94A17 PDFBibTeX XMLCite \textit{M. Kian}, Math. Inequal. Appl. 24, No. 2, 559--570 (2021; Zbl 1468.26007) Full Text: DOI arXiv
Khan, Khuram Ali; Niaz, Tasadduq; Pečarić, Đilda; Pečarić, Josip Estimation of different entropies via Hermite interpolating polynomial using Jensen-type functionals. (English) Zbl 1464.94017 J. Anal. 29, No. 1, 15-46 (2021). MSC: 94A17 05A19 39B62 94A15 41A05 PDFBibTeX XMLCite \textit{K. A. Khan} et al., J. Anal. 29, No. 1, 15--46 (2021; Zbl 1464.94017) Full Text: DOI
Kluza, Paweł A. On Jensen-Rényi and Jeffreys-Rényi type \(f\)-divergences induced by convex functions. (English) Zbl 07530516 Physica A 548, Article ID 122527, 10 p. (2020). MSC: 82-XX 94A17 26D15 15B51 PDFBibTeX XMLCite \textit{P. A. Kluza}, Physica A 548, Article ID 122527, 10 p. (2020; Zbl 07530516) Full Text: DOI
Sayyari, Yamin New entropy bounds via uniformly convex functions. (English) Zbl 1496.37014 Chaos Solitons Fractals 141, Article ID 110360, 6 p. (2020). MSC: 37B40 26B25 26D15 94A17 PDFBibTeX XMLCite \textit{Y. Sayyari}, Chaos Solitons Fractals 141, Article ID 110360, 6 p. (2020; Zbl 1496.37014) Full Text: DOI
Siddique, Nouman; Imran, Muhammad; Khan, Khuram Ali; Pečarić, Josip Difference equations related to majorization theorems via Montgomery identity and Green’s functions with application to the Shannon entropy. (English) Zbl 1486.26061 Adv. Difference Equ. 2020, Paper No. 430, 16 p. (2020). MSC: 26D20 26A51 94A17 PDFBibTeX XMLCite \textit{N. Siddique} et al., Adv. Difference Equ. 2020, Paper No. 430, 16 p. (2020; Zbl 1486.26061) Full Text: DOI
Khalid, Sadia; Pečarić, Josip Refinements of some Hardy-Littlewood-Pólya type inequalities via Green’s functions and Fink’s identity and related results. (English) Zbl 1503.26060 J. Inequal. Appl. 2020, Paper No. 260, 15 p. (2020). MSC: 26D15 26A51 26A24 94A17 26D10 PDFBibTeX XMLCite \textit{S. Khalid} and \textit{J. Pečarić}, J. Inequal. Appl. 2020, Paper No. 260, 15 p. (2020; Zbl 1503.26060) Full Text: DOI
Siddique, Nouman; Imran, Muhammad; Khan, Khuram Ali; Pečarić, Josip Majorization inequalities via Green functions and Fink’s identity with applications to Shannon entropy. (English) Zbl 1503.26077 J. Inequal. Appl. 2020, Paper No. 192, 14 p. (2020). MSC: 26D15 26A51 26D20 94A17 PDFBibTeX XMLCite \textit{N. Siddique} et al., J. Inequal. Appl. 2020, Paper No. 192, 14 p. (2020; Zbl 1503.26077) Full Text: DOI
Xiao, Lei; Lu, Guoxiang A new refinement of Jensen’s inequality with applications in information theory. (English) Zbl 1483.26020 Open Math. 18, 1748-1759 (2020). MSC: 26D15 26A51 94A17 PDFBibTeX XMLCite \textit{L. Xiao} and \textit{G. Lu}, Open Math. 18, 1748--1759 (2020; Zbl 1483.26020) Full Text: DOI
Adeel, Muhammad; Khan, Khuram Ali; Pečarić, Ðilda; Pečarić, Josip Levinson-type inequalities via new Green functions and Montgomery identity. (English) Zbl 1482.26051 Open Math. 18, 632-652 (2020). MSC: 26D20 26D15 94A20 PDFBibTeX XMLCite \textit{M. Adeel} et al., Open Math. 18, 632--652 (2020; Zbl 1482.26051) Full Text: DOI
Torra, Vicenç; Narukawa, Yasuo; Sugeno, Michio On the \(f\)-divergence for discrete non-additive measures. (English) Zbl 1460.28012 Inf. Sci. 512, 50-63 (2020). Reviewer: Radko Mesiar (Bratislava) MSC: 28E10 94D05 PDFBibTeX XMLCite \textit{V. Torra} et al., Inf. Sci. 512, 50--63 (2020; Zbl 1460.28012) Full Text: DOI
Adil Khan, Muhammad; Husain, Zakir; Chu, Yu-Ming New estimates for Csiszár divergence and Zipf-Mandelbrot entropy via Jensen-Mercer’s inequality. (English) Zbl 1454.26028 Complexity 2020, Article ID 8928691, 8 p. (2020). MSC: 26D15 94A17 PDFBibTeX XMLCite \textit{M. Adil Khan} et al., Complexity 2020, Article ID 8928691, 8 p. (2020; Zbl 1454.26028) Full Text: DOI
Makur, A.; Zheng, L. Comparison of contraction coefficients for \(f\)-divergences. (English. Russian original) Zbl 1457.94063 Probl. Inf. Transm. 56, No. 2, 103-156 (2020); translation from Probl. Peredachi Inf. 56, No. 2, 3-63 (2020). MSC: 94A17 62B10 PDFBibTeX XMLCite \textit{A. Makur} and \textit{L. Zheng}, Probl. Inf. Transm. 56, No. 2, 103--156 (2020; Zbl 1457.94063); translation from Probl. Peredachi Inf. 56, No. 2, 3--63 (2020) Full Text: DOI arXiv
Mehmood, Nasir; Butt, Saad Ihsan; Pečarić, Đilda; Pečarić, Josip Generalizations of cyclic refinements of Jensen’s inequality by Lidstone’s polynomial with applications in information theory. (English) Zbl 1444.26035 J. Math. Inequal. 14, No. 1, 249-271 (2020). Reviewer: Sanja Varošanec (Zagreb) MSC: 26D15 26A51 26E60 94A15 94A17 PDFBibTeX XMLCite \textit{N. Mehmood} et al., J. Math. Inequal. 14, No. 1, 249--271 (2020; Zbl 1444.26035) Full Text: DOI
Pakgohar, A.; Habibirad, A.; Yousefzadeh, F. Lin-Wong divergence and relations on type I censored data. (English) Zbl 1511.62014 Commun. Stat., Theory Methods 48, No. 19, 4804-4819 (2019). MSC: 62B10 60E15 62N05 94A17 PDFBibTeX XMLCite \textit{A. Pakgohar} et al., Commun. Stat., Theory Methods 48, No. 19, 4804--4819 (2019; Zbl 1511.62014) Full Text: DOI
Mehmood, Nasir; Butt, Saad Ihsan; Pečarić, Ðilda; Pečarić, Josip Several new cyclic Jensen type inequalities and their applications. (English) Zbl 1499.26080 J. Inequal. Appl. 2019, Paper No. 240, 18 p. (2019). MSC: 26D10 26D20 94A17 PDFBibTeX XMLCite \textit{N. Mehmood} et al., J. Inequal. Appl. 2019, Paper No. 240, 18 p. (2019; Zbl 1499.26080) Full Text: DOI
Adeel, Muhammad; Khan, Khuram Ali; Pečarić, Ðilda; Pečarić, Josip Generalization of the Levinson inequality with applications to information theory. (English) Zbl 1499.26212 J. Inequal. Appl. 2019, Paper No. 230, 18 p. (2019). MSC: 26D20 94A17 PDFBibTeX XMLCite \textit{M. Adeel} et al., J. Inequal. Appl. 2019, Paper No. 230, 18 p. (2019; Zbl 1499.26212) Full Text: DOI
Adeel, Muhammad; Khan, Khuram Ali; Pečarić, Ðilda; Pečarić, Josip RETRACTED ARTICLE: Generalization of the Levinson inequality with applications to information theory. (English) Zbl 1499.26211 J. Inequal. Appl. 2019, Paper No. 212, 19 p. (2019); retraction note ibid. 2020, Paper No. 142, 1 p. (2020). MSC: 26D20 94A17 PDFBibTeX XMLCite \textit{M. Adeel} et al., J. Inequal. Appl. 2019, Paper No. 212, 19 p. (2019; Zbl 1499.26211) Full Text: DOI
Dragomir, Silvestru Sever Inequalities for synchronous functions and applications. (English) Zbl 1463.26051 Constr. Math. Anal. 2, No. 3, 109-123 (2019). MSC: 26D15 26D10 94A17 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Constr. Math. Anal. 2, No. 3, 109--123 (2019; Zbl 1463.26051) Full Text: DOI
Pečarić, Đilda; Pečarić, Josip; Rodić, Mirna On a Jensen-type inequality for generalized \(f\)-divergences and Zipf-Mandelbrot law. (English) Zbl 1434.26062 Math. Inequal. Appl. 22, No. 4, 1463-1475 (2019). MSC: 26D15 60E05 94A17 PDFBibTeX XMLCite \textit{Đ. Pečarić} et al., Math. Inequal. Appl. 22, No. 4, 1463--1475 (2019; Zbl 1434.26062) Full Text: DOI
Butt, Saad Ihsan; Mehmood, Nasir; Pečarić, Đilda; Pečarić, Josip New bounds for Shannon, relative and Mandelbrot entropies via Abel-Gontscharoff interpolating polynomial. (English) Zbl 1434.26020 Math. Inequal. Appl. 22, No. 4, 1283-1301 (2019). MSC: 26A51 26D15 26E60 94A17 94A15 PDFBibTeX XMLCite \textit{S. I. Butt} et al., Math. Inequal. Appl. 22, No. 4, 1283--1301 (2019; Zbl 1434.26020) Full Text: DOI
Saraswat, R. N.; Tak, Ajay Series of divergence measures of type \(k\), information inequalities and particular cases. (English) Zbl 1434.62013 Appl. Appl. Math. 14, No. 2, 1067-1084 (2019). MSC: 62B10 94A17 PDFBibTeX XMLCite \textit{R. N. Saraswat} and \textit{A. Tak}, Appl. Appl. Math. 14, No. 2, 1067--1084 (2019; Zbl 1434.62013) Full Text: Link
Kumari, Reetu; Sharma, D. K. Generalized ‘useful’ non-symmetric divergence measures and inequalities. (English) Zbl 1425.94038 J. Math. Inequal. 13, No. 2, Article No. 13-30, 451-466 (2019). MSC: 94A17 62B10 26D15 PDFBibTeX XMLCite \textit{R. Kumari} and \textit{D. K. Sharma}, J. Math. Inequal. 13, No. 2, Article No. 13--30, 451--466 (2019; Zbl 1425.94038) Full Text: DOI
Austin, Anthony P.; Di, Zichao; Leyffer, Sven; Wild, Stefan M. Simultaneous sensing error recovery and tomographic inversion using an optimization-based approach. (English) Zbl 1420.65141 SIAM J. Sci. Comput. 41, No. 3, B497-B521 (2019). MSC: 65R32 90C30 94A08 PDFBibTeX XMLCite \textit{A. P. Austin} et al., SIAM J. Sci. Comput. 41, No. 3, B497--B521 (2019; Zbl 1420.65141) Full Text: DOI arXiv
Horváth, László; Pečarić, Đilda; Pečarić, Josip Estimations of \(f\)- and Rényi divergences by using a cyclic refinement of the Jensen’s inequality. (English) Zbl 1428.26040 Bull. Malays. Math. Sci. Soc. (2) 42, No. 3, 933-946 (2019). Reviewer: Sanja Varošanec (Zagreb) MSC: 26D15 94A17 PDFBibTeX XMLCite \textit{L. Horváth} et al., Bull. Malays. Math. Sci. Soc. (2) 42, No. 3, 933--946 (2019; Zbl 1428.26040) Full Text: DOI
Chhabra, Praphull On a new non-symmetric divergence measure. (English) Zbl 1406.94015 Palest. J. Math. 8, No. 1, 91-104 (2019). MSC: 94A17 26D15 PDFBibTeX XMLCite \textit{P. Chhabra}, Palest. J. Math. 8, No. 1, 91--104 (2019; Zbl 1406.94015) Full Text: Link
Khan, Muhammad Adil; Pečarić, Đilda; Pečarić, Josip On Zipf-Mandelbrot entropy. (English) Zbl 1452.26021 J. Comput. Appl. Math. 346, 192-204 (2019). MSC: 26D15 94A17 94A15 PDFBibTeX XMLCite \textit{M. A. Khan} et al., J. Comput. Appl. Math. 346, 192--204 (2019; Zbl 1452.26021) Full Text: DOI
Ivelić Bradanović, S.; Latif, N.; Pečarić, Ð.; Pečarić, J. Sherman’s and related inequalities with applications in information theory. (English) Zbl 1497.26028 J. Inequal. Appl. 2018, Paper No. 98, 21 p. (2018). MSC: 26D15 26D20 94A17 PDFBibTeX XMLCite \textit{S. Ivelić Bradanović} et al., J. Inequal. Appl. 2018, Paper No. 98, 21 p. (2018; Zbl 1497.26028) Full Text: DOI
Khalili, M.; Habibirad, A.; Yousefzadeh, F. Some properties of Lin-Wong divergence on the past lifetime data. (English) Zbl 1508.62236 Commun. Stat., Theory Methods 47, No. 14, 3464-3476 (2018). MSC: 62N05 62B10 94A17 PDFBibTeX XMLCite \textit{M. Khalili} et al., Commun. Stat., Theory Methods 47, No. 14, 3464--3476 (2018; Zbl 1508.62236) Full Text: DOI
Dragomir, Silvestru Sever Refining Jensen’s integral inequality for divisions of measurable space. (English) Zbl 1454.26033 J. Math. Ext. 12, No. 2, 87-106 (2018). MSC: 26D15 94A17 PDFBibTeX XMLCite \textit{S. S. Dragomir}, J. Math. Ext. 12, No. 2, 87--106 (2018; Zbl 1454.26033) Full Text: Link
Lu, Guoxiang New refinements of Jensen’s inequality and entropy upper bounds. (English) Zbl 1395.26007 J. Math. Inequal. 12, No. 2, 403-421 (2018). MSC: 26D15 26B25 94A17 PDFBibTeX XMLCite \textit{G. Lu}, J. Math. Inequal. 12, No. 2, 403--421 (2018; Zbl 1395.26007) Full Text: DOI
Agahi, Hamzeh; Yadollahzadeh, Milad A generalization of HH \(f\)-divergence. (English) Zbl 1444.94032 J. Comput. Appl. Math. 343, 309-317 (2018). MSC: 94A17 62B10 PDFBibTeX XMLCite \textit{H. Agahi} and \textit{M. Yadollahzadeh}, J. Comput. Appl. Math. 343, 309--317 (2018; Zbl 1444.94032) Full Text: DOI
Mehmood, Nasir; Butt, Saad Ihsan; Pečarić, Đilda; Pečarić, Josip New bounds for Shannon, relative and Mandelbrot entropies via Hermite interpolating polynomial. (English) Zbl 1391.94588 Demonstr. Math. 51, 112-130 (2018). MSC: 94A17 94A15 26A51 26D15 26E60 PDFBibTeX XMLCite \textit{N. Mehmood} et al., Demonstr. Math. 51, 112--130 (2018; Zbl 1391.94588) Full Text: DOI
Dragomir, Sever S. Inequalities for discrete \(f\)-divergence measures: a survey of recent results. (English) Zbl 1381.62011 Aust. J. Math. Anal. Appl. 15, No. 1, Article No. 1, 275 p. (2018). MSC: 62B10 94A17 26D15 62-02 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Aust. J. Math. Anal. Appl. 15, No. 1, Article No. 1, 275 p. (2018; Zbl 1381.62011) Full Text: Link
Lovričević, Neda; Pečarić, Đilda; Pečarić, Josip Zipf-Mandelbrot law, \(f\)-divergences and the Jensen-type interpolating inequalities. (English) Zbl 1412.94137 J. Inequal. Appl. 2018, Paper No. 36, 20 p. (2018). MSC: 94A17 94A15 26D15 26A51 PDFBibTeX XMLCite \textit{N. Lovričević} et al., J. Inequal. Appl. 2018, Paper No. 36, 20 p. (2018; Zbl 1412.94137) Full Text: DOI
Gilboa, Guy Semi-inner-products for convex functionals and their use in image decomposition. (English) Zbl 1425.94014 J. Math. Imaging Vis. 57, No. 1, 26-42 (2017). MSC: 94A08 PDFBibTeX XMLCite \textit{G. Gilboa}, J. Math. Imaging Vis. 57, No. 1, 26--42 (2017; Zbl 1425.94014) Full Text: DOI arXiv
Niethammer, Marc; Pohl, Kilian M.; Janoos, Firdaus; Wells, William M. III Active mean fields for probabilistic image segmentation: connections with Chan-Vese and Rudin-Osher-Fatemi models. (English) Zbl 1379.68309 SIAM J. Imaging Sci. 10, No. 3, 1069-1103 (2017). MSC: 68T45 68U10 94A08 PDFBibTeX XMLCite \textit{M. Niethammer} et al., SIAM J. Imaging Sci. 10, No. 3, 1069--1103 (2017; Zbl 1379.68309) Full Text: DOI arXiv
Banach, Zbigniew; Larecki, Wieslaw Entropy-based mixed three-moment description of fermionic radiation transport in slab and spherical geometries. (English) Zbl 1357.85003 Kinet. Relat. Models 10, No. 4, 879-900 (2017). MSC: 85A25 82C40 94A17 46N10 35L40 35Q93 PDFBibTeX XMLCite \textit{Z. Banach} and \textit{W. Larecki}, Kinet. Relat. Models 10, No. 4, 879--900 (2017; Zbl 1357.85003) Full Text: DOI
Kluza, Paweł; Niezgoda, Marek Generalizations of Crooks and Lin’s results on Jeffreys-Csiszár and Jensen-Csiszár \(f\)-divergences. (English) Zbl 1400.82133 Physica A 463, 383-393 (2016). MSC: 82C05 94A17 PDFBibTeX XMLCite \textit{P. Kluza} and \textit{M. Niezgoda}, Physica A 463, 383--393 (2016; Zbl 1400.82133) Full Text: DOI
Dragomir, Sever S. Jensen and Ostrowski type inequalities for general Lebesgue integral with applications. (English) Zbl 1354.26035 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 70, No. 2, 29-49 (2016). MSC: 26D15 94A17 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 70, No. 2, 29--49 (2016; Zbl 1354.26035)
Sever Dragomir, Silvestru; Adil Khan, Muhammad; Abathun, Addisalem Refinement of the Jensen integral inequality. (English) Zbl 1347.26047 Open Math. 14, 221-228 (2016). MSC: 26D15 94A17 PDFBibTeX XMLCite \textit{S. Sever Dragomir} et al., Open Math. 14, 221--228 (2016; Zbl 1347.26047) Full Text: DOI
Garg, Dhanesh; Kumar, Satish Parametric \(R\)-norm directed-divergence convex function. (English) Zbl 1401.94060 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 19, No. 2, Article ID 1650014, 12 p. (2016). MSC: 94A15 94A24 26D15 PDFBibTeX XMLCite \textit{D. Garg} and \textit{S. Kumar}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 19, No. 2, Article ID 1650014, 12 p. (2016; Zbl 1401.94060) Full Text: DOI
Dastourian, Bahram; Janfada, Mohammad Frames for operators in Banach spaces via semi-inner products. (English) Zbl 1338.42042 Int. J. Wavelets Multiresolut. Inf. Process. 14, No. 3, Article ID 1650011, 17 p. (2016). MSC: 42C15 46B15 46C50 94A20 PDFBibTeX XMLCite \textit{B. Dastourian} and \textit{M. Janfada}, Int. J. Wavelets Multiresolut. Inf. Process. 14, No. 3, Article ID 1650011, 17 p. (2016; Zbl 1338.42042) Full Text: DOI arXiv
Niezgoda, Marek Vector joint majorization and generalization of Csiszár-Körner’s inequality for \(f\)-divergence. (English) Zbl 1357.15018 Discrete Appl. Math. 198, 195-205 (2016). MSC: 15A99 26B25 47B65 94A17 PDFBibTeX XMLCite \textit{M. Niezgoda}, Discrete Appl. Math. 198, 195--205 (2016; Zbl 1357.15018) Full Text: DOI
Cerone, Pietro; Dragomir, Sever S.; Kikianty, Eder Jensen-Ostrowski type inequalities and applications for \(f\)-divergence measures. (English) Zbl 1410.26029 Appl. Math. Comput. 266, 304-315 (2015). MSC: 26D10 26D15 94A17 PDFBibTeX XMLCite \textit{P. Cerone} et al., Appl. Math. Comput. 266, 304--315 (2015; Zbl 1410.26029) Full Text: DOI
Chen, Zengqiang; Dehmer, Matthias; Shi, Yongtang Bounds for degree-based network entropies. (English) Zbl 1410.94029 Appl. Math. Comput. 265, 983-993 (2015). MSC: 94A17 PDFBibTeX XMLCite \textit{Z. Chen} et al., Appl. Math. Comput. 265, 983--993 (2015; Zbl 1410.94029) Full Text: DOI
Cao, Shujuan; Dehmer, Matthias Degree-based entropies of networks revisited. (English) Zbl 1410.94027 Appl. Math. Comput. 261, 141-147 (2015). MSC: 94A17 05C82 PDFBibTeX XMLCite \textit{S. Cao} and \textit{M. Dehmer}, Appl. Math. Comput. 261, 141--147 (2015; Zbl 1410.94027) Full Text: DOI
Dragomir, Sever S. General Lebesgue integral inequalities of Jensen and Ostrowski type for differentiable functions whose derivatives in absolute value are \(h\)-convex and applications. (English) Zbl 1354.26034 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 69, No. 2, 17-45 (2015). MSC: 26D15 94A17 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 69, No. 2, 17--45 (2015; Zbl 1354.26034) Full Text: DOI
Dragomir, S. S. A survey of reverse inequalities for \(f\)-divergence measure in information theory. (English) Zbl 1382.94033 Daras, Nicholas J. (ed.) et al., Computation, cryptography, and network security. Cham: Springer (ISBN 978-3-319-18274-2/hbk; 978-3-319-18275-9/ebook). 209-251 (2015). MSC: 94A17 PDFBibTeX XMLCite \textit{S. S. Dragomir}, in: Computation, cryptography, and network security. Cham: Springer. 209--251 (2015; Zbl 1382.94033) Full Text: DOI
Pöschl, Christiane; Scherzer, Otmar Distance measures and applications to multimodal variational imaging. 2nd edition. (English) Zbl 1331.65052 Scherzer, Otmar (ed.), Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer (ISBN 978-1-4939-0789-2/print; 978-1-4939-0790-8/ebook; 978-1-4939-0791-5/print+ebook; 978-3-642-27795-5/online (updated continuously)). Springer Reference, 125-155 (2015). MSC: 65D18 62H35 94A08 PDFBibTeX XMLCite \textit{C. Pöschl} and \textit{O. Scherzer}, in: Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer. 125--155 (2015; Zbl 1331.65052) Full Text: DOI
Niezgoda, Marek Shannon like inequalities for \(f\)-connections of positive linear maps and positive operators. (English) Zbl 1392.47001 Linear Algebra Appl. 481, 186-201 (2015). MSC: 47A05 26D15 94A17 PDFBibTeX XMLCite \textit{M. Niezgoda}, Linear Algebra Appl. 481, 186--201 (2015; Zbl 1392.47001) Full Text: DOI
Popescu, P. G.; Preda, V.; Sluşanschi, E. I. Bounds for Jeffreys-Tsallis and Jensen-Shannon-Tsallis divergences. (English) Zbl 1395.94218 Physica A 413, 280-283 (2014). MSC: 94A17 62B10 PDFBibTeX XMLCite \textit{P. G. Popescu} et al., Physica A 413, 280--283 (2014; Zbl 1395.94218) Full Text: DOI
Kraus, Veronika; Dehmer, Matthias; Emmert-Streib, Frank Probabilistic inequalities for evaluating structural network measures. (English) Zbl 1355.05240 Inf. Sci. 288, 220-245 (2014). MSC: 05C90 05C80 05C75 90B10 94A17 PDFBibTeX XMLCite \textit{V. Kraus} et al., Inf. Sci. 288, 220--245 (2014; Zbl 1355.05240) Full Text: DOI
Cao, Shujuan; Dehmer, Matthias; Shi, Yongtang Extremality of degree-based graph entropies. (English) Zbl 1354.94018 Inf. Sci. 278, 22-33 (2014). MSC: 94A17 05C82 05C90 PDFBibTeX XMLCite \textit{S. Cao} et al., Inf. Sci. 278, 22--33 (2014; Zbl 1354.94018) Full Text: DOI
Dragomir, Silvestru Sever A new quantum \(f\)-divergence for trace class operators in Hilbert spaces. (English) Zbl 1338.94035 Entropy 16, No. 11, 5853-5875 (2014). MSC: 94A17 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Entropy 16, No. 11, 5853--5875 (2014; Zbl 1338.94035) Full Text: DOI
Rooin, Jamal; Dehghan, Hossein; Alikhani, Akram Comparison of the normalized Jensen functionals of two convex functions with applications. (English) Zbl 1335.26012 Appl. Math. Comput. 243, 528-536 (2014). MSC: 26D15 26A51 94A17 PDFBibTeX XMLCite \textit{J. Rooin} et al., Appl. Math. Comput. 243, 528--536 (2014; Zbl 1335.26012) Full Text: DOI
Chen, Zengqiang; Dehmer, Matthias; Emmert-Streib, Frank; Shi, Yongtang Entropy bounds for dendrimers. (English) Zbl 1334.05137 Appl. Math. Comput. 242, 462-472 (2014). MSC: 05C78 94A17 PDFBibTeX XMLCite \textit{Z. Chen} et al., Appl. Math. Comput. 242, 462--472 (2014; Zbl 1334.05137) Full Text: DOI
Rastegin, Alexey E. On quantum conditional entropies defined in terms of the \(F\)-divergences. (English) Zbl 1310.81041 Rep. Math. Phys. 73, No. 3, 393-411 (2014). MSC: 81P45 94A17 94A24 PDFBibTeX XMLCite \textit{A. E. Rastegin}, Rep. Math. Phys. 73, No. 3, 393--411 (2014; Zbl 1310.81041) Full Text: DOI arXiv
Kian, Mohsen A characterization of mean values for Csiszár’s inequality and applications. (English) Zbl 1329.94024 Indag. Math., New Ser. 25, No. 3, 505-515 (2014). MSC: 94A15 26D10 26A51 PDFBibTeX XMLCite \textit{M. Kian}, Indag. Math., New Ser. 25, No. 3, 505--515 (2014; Zbl 1329.94024) Full Text: DOI
Zeng, Guoping Metric divergence measures and information value in credit scoring. (English) Zbl 1486.94043 J. Math. 2013, Article ID 848271, 10 p. (2013). MSC: 94A17 91G40 PDFBibTeX XMLCite \textit{G. Zeng}, J. Math. 2013, Article ID 848271, 10 p. (2013; Zbl 1486.94043) Full Text: DOI
Dragomir, S. S. Reverses of the Jensen inequality in terms of first derivative and applications. (English) Zbl 1280.26033 Acta Math. Vietnam. 38, No. 3, 429-446 (2013). MSC: 26D15 26D20 94A05 26E60 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Acta Math. Vietnam. 38, No. 3, 429--446 (2013; Zbl 1280.26033) Full Text: DOI
Dragomir, S. S. Some reverses of the Jensen inequality with applications. (English) Zbl 1275.26035 Bull. Aust. Math. Soc. 87, No. 2, 177-194 (2013). Reviewer: Sanja Varošanec (Zagreb) MSC: 26D15 26D20 94A05 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Bull. Aust. Math. Soc. 87, No. 2, 177--194 (2013; Zbl 1275.26035) Full Text: DOI
Jain, K. C.; Saraswat, Ram Naresh A new information inequality and its application in establishing relation among various \(f\)-divergence measures. (English) Zbl 1277.62041 J. Appl. Math. Stat. Inform. 8, No. 1, 17-32 (2012). MSC: 62B10 94A17 26D15 PDFBibTeX XMLCite \textit{K. C. Jain} and \textit{R. N. Saraswat}, J. Appl. Math. Stat. Inform. 8, No. 1, 17--32 (2012; Zbl 1277.62041) Full Text: DOI
Ţăpuş, N.; Popescu, P. G. A new entropy upper bound. (English) Zbl 1255.26011 Appl. Math. Lett. 25, No. 11, 1887-1890 (2012). MSC: 26D15 94A17 26D10 PDFBibTeX XMLCite \textit{N. Ţăpuş} and \textit{P. G. Popescu}, Appl. Math. Lett. 25, No. 11, 1887--1890 (2012; Zbl 1255.26011) Full Text: DOI
He, Kan; Hou, Jinchuan; Li, Ming A von Neumann entropy condition of unitary equivalence of quantum states. (English) Zbl 1253.81022 Appl. Math. Lett. 25, No. 8, 1153-1156 (2012). MSC: 81P16 94A17 PDFBibTeX XMLCite \textit{K. He} et al., Appl. Math. Lett. 25, No. 8, 1153--1156 (2012; Zbl 1253.81022) Full Text: DOI
Dragomir, S. S. Inequalities in terms of the Gâteaux derivatives for convex functions on linear spaces with applications. (English) Zbl 1230.26011 Bull. Aust. Math. Soc. 83, No. 3, 500-517 (2011). Reviewer: Bicheng Yang (Guangdong) MSC: 26D15 94A17 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Bull. Aust. Math. Soc. 83, No. 3, 500--517 (2011; Zbl 1230.26011) Full Text: DOI
Dehmer, Matthias; Mowshowitz, Abbe A history of graph entropy measures. (English) Zbl 1204.94050 Inf. Sci. 181, No. 1, 57-78 (2011). MSC: 94A17 05C90 94-03 PDFBibTeX XMLCite \textit{M. Dehmer} and \textit{A. Mowshowitz}, Inf. Sci. 181, No. 1, 57--78 (2011; Zbl 1204.94050) Full Text: DOI
Mehdi Yaghoobi Avval Riabi; Mohtashami Borzadaran, G. R.; Yari, G. H. \(\beta\)-entropy for Pareto-type distributions and related weighted distributions. (English) Zbl 1201.62005 Stat. Probab. Lett. 80, No. 19-20, 1512-1519 (2010). MSC: 62B10 94A17 PDFBibTeX XMLCite \textit{Mehdi Yaghoobi Avval Riabi} et al., Stat. Probab. Lett. 80, No. 19--20, 1512--1519 (2010; Zbl 1201.62005) Full Text: DOI
Dragomir, S. S. Superadditivity of some functionals associated with Jensen’s inequality for convex functions on linear spaces with applications. (English) Zbl 1204.26033 Bull. Aust. Math. Soc. 82, No. 1, 44-61 (2010). Reviewer: Bicheng Yang (Guangdong) MSC: 26D15 94A17 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Bull. Aust. Math. Soc. 82, No. 1, 44--61 (2010; Zbl 1204.26033) Full Text: DOI
Simić, Slavko Best possible global bounds for Jensen functional. (English) Zbl 1200.26036 Proc. Am. Math. Soc. 138, No. 7, 2457-2462 (2010). Reviewer: Martin Väth (Berlin) MSC: 26D20 26B25 26D15 94A17 PDFBibTeX XMLCite \textit{S. Simić}, Proc. Am. Math. Soc. 138, No. 7, 2457--2462 (2010; Zbl 1200.26036) Full Text: DOI
Simic, Slavko Jensen’s inequality and new entropy bounds. (English) Zbl 1173.26308 Appl. Math. Lett. 22, No. 8, 1262-1265 (2009). MSC: 26B25 94A17 PDFBibTeX XMLCite \textit{S. Simic}, Appl. Math. Lett. 22, No. 8, 1262--1265 (2009; Zbl 1173.26308) Full Text: DOI
Dragomir, S. S. Bounds for the deviation of a function from the chord generated by its extremities. (English) Zbl 1154.26024 Bull. Aust. Math. Soc. 78, No. 2, 225-248 (2008). Reviewer: Ryszard Pawlak (Łódź) MSC: 26D15 94A17 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Bull. Aust. Math. Soc. 78, No. 2, 225--248 (2008; Zbl 1154.26024) Full Text: DOI
Kumar, P.; Chhina, S. A symmetric information divergence measure of the Csiszár’s \(f\)-divergence class and its bounds. (English) Zbl 1077.94509 Comput. Math. Appl. 49, No. 4, 575-588 (2005). MSC: 94A17 PDFBibTeX XMLCite \textit{P. Kumar} and \textit{S. Chhina}, Comput. Math. Appl. 49, No. 4, 575--588 (2005; Zbl 1077.94509) Full Text: DOI
Dragomir, S. S. A companion of the Grüss inequality and applications. (English) Zbl 1057.26015 Appl. Math. Lett. 17, No. 4, 429-435 (2004). MSC: 26D15 28A20 94A15 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Appl. Math. Lett. 17, No. 4, 429--435 (2004; Zbl 1057.26015) Full Text: DOI
Dragomir, S. S. Bounds for \(f\)-divergences under likelihood ratio constraints. (English) Zbl 1099.94015 Appl. Math., Praha 48, No. 3, 205-223 (2003). MSC: 94A17 26D15 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Appl. Math., Praha 48, No. 3, 205--223 (2003; Zbl 1099.94015) Full Text: DOI EuDML
Dragomir, S. S. An inequality for logarithmic mapping and applications for the Shannon entropy. (English) Zbl 1047.94507 Comput. Math. Appl. 46, No. 8-9, 1273-1279 (2003). MSC: 94A17 62B10 26D15 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Comput. Math. Appl. 46, No. 8--9, 1273--1279 (2003; Zbl 1047.94507) Full Text: DOI
Barnett, N. S.; Dragomir, S. S. Bounds in terms of the fourth derivative for the remainder in the corrected trapezoid formula. (English) Zbl 1032.41019 Comput. Math. Appl. 44, No. 5-6, 595-605 (2002). MSC: 41A55 94A15 62B10 PDFBibTeX XMLCite \textit{N. S. Barnett} and \textit{S. S. Dragomir}, Comput. Math. Appl. 44, No. 5--6, 595--605 (2002; Zbl 1032.41019) Full Text: DOI
Dragomir, S. S.; Agarwal, R. P. Some inequalities and their application for estimating the moments of guessing mappings. (English) Zbl 0997.26018 Math. Comput. Modelling 34, No. 3-4, 441-468 (2001). Reviewer: J.E.Pečarić (Zagreb) MSC: 26D15 94A15 PDFBibTeX XMLCite \textit{S. S. Dragomir} and \textit{R. P. Agarwal}, Math. Comput. Modelling 34, No. 3--4, 441--468 (2001; Zbl 0997.26018) Full Text: DOI
Dragomir, S. S.; Goh, C. J. On monotonicity and superadditivity properties of the entropy function. (English) Zbl 0988.94015 ANZIAM J. 42, No. 4, 515-531 (2001). MSC: 94A17 26D15 26D07 52A41 PDFBibTeX XMLCite \textit{S. S. Dragomir} and \textit{C. J. Goh}, ANZIAM J. 42, No. 4, 515--531 (2001; Zbl 0988.94015) Full Text: DOI
Matić, M.; Pearce, C. E. M.; Pečarić, J. Refinements of some bounds in information theory. (English) Zbl 0993.94008 ANZIAM J. 42, No. 3, 387-398 (2001). Reviewer: Pushpa N.Rathie (Brasilia) MSC: 94A17 26D15 60A10 PDFBibTeX XMLCite \textit{M. Matić} et al., ANZIAM J. 42, No. 3, 387--398 (2001; Zbl 0993.94008) Full Text: DOI
Dragomir, S. S.; Scholz, M. L.; Sunde, J. Some upper bounds for relative entropy and applications. (English) Zbl 1014.94005 Comput. Math. Appl. 39, No. 9-10, 91-100 (2000). MSC: 94A17 PDFBibTeX XMLCite \textit{S. S. Dragomir} et al., Comput. Math. Appl. 39, No. 9--10, 91--100 (2000; Zbl 1014.94005) Full Text: DOI
Dragomir, S. S.; Dragomir, N. M.; Pranesh, K. An inequality for logarithms and applications in information theory. (English) Zbl 1043.94529 Comput. Math. Appl. 38, No. 2, 11-17 (1999). MSC: 94A17 26D99 PDFBibTeX XMLCite \textit{S. S. Dragomir} et al., Comput. Math. Appl. 38, No. 2, 11--17 (1999; Zbl 1043.94529) Full Text: DOI
Dragomir, S. S.; Boztaş, S. Estimation of arithmetic means and their applications in guessing theory. (English) Zbl 0992.94022 Math. Comput. Modelling 28, No. 10, 31-43 (1998). MSC: 94A17 94A29 PDFBibTeX XMLCite \textit{S. S. Dragomir} and \textit{S. Boztaş}, Math. Comput. Modelling 28, No. 10, 31--43 (1998; Zbl 0992.94022) Full Text: DOI