Eskenazis, Alexandros; Shenfeld, Yair Intrinsic dimensional functional inequalities on model spaces. (English) Zbl 07807079 J. Funct. Anal. 286, No. 7, Article ID 110338, 56 p. (2024). MSC: 39B62 26D10 58J65 60J60 94A17 PDFBibTeX XMLCite \textit{A. Eskenazis} and \textit{Y. Shenfeld}, J. Funct. Anal. 286, No. 7, Article ID 110338, 56 p. (2024; Zbl 07807079) Full Text: DOI arXiv
Rosenzweig, Matthew; Serfaty, Sylvia Relative entropy and modulated free energy without confinement via self-similar transformation. arXiv:2402.13977 Preprint, arXiv:2402.13977 [math.AP] (2024). MSC: 35Q70 35Q82 82C22 82C40 82C31 35Q92 94A17 39B62 BibTeX Cite \textit{M. Rosenzweig} and \textit{S. Serfaty}, ``Relative entropy and modulated free energy without confinement via self-similar transformation'', Preprint, arXiv:2402.13977 [math.AP] (2024) Full Text: arXiv OA License
Fradelizi, Matthieu; Gavalakis, Lampros; Rapaport, Martin On the monotonicity of discrete entropy for log-concave random vectors on \(\mathbb{Z}^d\). arXiv:2401.15462 Preprint, arXiv:2401.15462 [math.PR] (2024). MSC: 94A17 52C07 39B62 BibTeX Cite \textit{M. Fradelizi} et al., ``On the monotonicity of discrete entropy for log-concave random vectors on $\mathbb{Z}^d$'', Preprint, arXiv:2401.15462 [math.PR] (2024) Full Text: arXiv OA License
Bilal, Muhammad; Khan, Khuram Ali; Nosheen, Ammara; Pečarić, Josip Generalization of some bounds containing entropies on time scales. (English) Zbl 07679017 Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 71, 35 p. (2023). MSC: 26E70 39B62 94A17 PDFBibTeX XMLCite \textit{M. Bilal} et al., Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 71, 35 p. (2023; Zbl 07679017) Full Text: DOI
de Courcel, Antonin Chodron; Rosenzweig, Matthew; Serfaty, Sylvia The attractive log gas: stability, uniqueness, and propagation of chaos. arXiv:2311.14560 Preprint, arXiv:2311.14560 [math.AP] (2023). MSC: 35Q70 35Q82 82C22 82C40 82C31 35Q92 94A17 39B62 BibTeX Cite \textit{A. C. de Courcel} et al., ``The attractive log gas: stability, uniqueness, and propagation of chaos'', Preprint, arXiv:2311.14560 [math.AP] (2023) Full Text: arXiv OA License
Rosenzweig, Matthew; Serfaty, Sylvia Modulated logarithmic Sobolev inequalities and generation of chaos. arXiv:2307.07587 Preprint, arXiv:2307.07587 [math.PR] (2023). MSC: 39B62 82C22 82B40 82C40 35Q70 35Q82 94A17 BibTeX Cite \textit{M. Rosenzweig} and \textit{S. Serfaty}, ``Modulated logarithmic Sobolev inequalities and generation of chaos'', Preprint, arXiv:2307.07587 [math.PR] (2023) Full Text: arXiv OA License
Bobkov, Sergey G.; Marsiglietti, Arnaud; Melbourne, James Concentration functions and entropy bounds for discrete log-concave distributions. (English) Zbl 1511.60035 Comb. Probab. Comput. 31, No. 1, 54-72 (2022). Reviewer: Fraser Daly (Edinburgh) MSC: 60E15 94A17 39B62 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., Comb. Probab. Comput. 31, No. 1, 54--72 (2022; Zbl 1511.60035) Full Text: DOI arXiv
Carlen, Eric A.; Zhang, Haonan Monotonicity versions of Epstein’s Concavity Theorem and related inequalities. (English) Zbl 1505.39019 Linear Algebra Appl. 654, 289-310 (2022). Reviewer: Tomasz Zgraja (Bielsko-Biała) MSC: 39B62 81P45 94A17 15A45 PDFBibTeX XMLCite \textit{E. A. Carlen} and \textit{H. Zhang}, Linear Algebra Appl. 654, 289--310 (2022; Zbl 1505.39019) Full Text: DOI arXiv
Pachaiyappan, Divyakumari; Murali, Ramdoss; Park, Choonkil; Lee, Jung Rye Relation between electrical resistance and conductance using multifarious functional equations and applications to parallel circuit. (English) Zbl 1506.39019 J. Inequal. Appl. 2022, Paper No. 60, 33 p. (2022). MSC: 39B82 39B62 39B52 94C05 PDFBibTeX XMLCite \textit{D. Pachaiyappan} et al., J. Inequal. Appl. 2022, Paper No. 60, 33 p. (2022; Zbl 1506.39019) Full Text: DOI
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
Singh, Dhiraj Kumar; Grover, Shveta On the stability and general solution of a sum form functional equation emerging from information theory. (English) Zbl 1487.39034 Bull. Math. Anal. Appl. 12, No. 3, 1-18 (2020). MSC: 39B82 39B62 94A15 94A17 PDFBibTeX XMLCite \textit{D. K. Singh} and \textit{S. Grover}, Bull. Math. Anal. Appl. 12, No. 3, 1--18 (2020; Zbl 1487.39034) Full Text: Link
Ansari, Iqrar; Khan, Khuram Ali; Nosheen, Ammara; Pečarić, Ðilda; Pečarić, Josip Shannon type inequalities via time scales theory. (English) Zbl 1482.39037 Adv. Difference Equ. 2020, Paper No. 135, 14 p. (2020). MSC: 39B62 93C70 94A17 26E70 PDFBibTeX XMLCite \textit{I. Ansari} et al., Adv. Difference Equ. 2020, Paper No. 135, 14 p. (2020; Zbl 1482.39037) Full Text: DOI
Raşa, Ioan Convexity properties of some entropies. II. (English) Zbl 1429.26016 Result. Math. 74, No. 4, Paper No. 154, 9 p. (2019). Reviewer: Tomasz Zgraja (Bielsko-Biała) MSC: 26A51 39B22 39B62 94A17 05A19 PDFBibTeX XMLCite \textit{I. Raşa}, Result. Math. 74, No. 4, Paper No. 154, 9 p. (2019; Zbl 1429.26016) Full Text: DOI
Kubo, Hideo; Ogawa, Takayoshi; Suguro, Takeshi Beckner type of the logarithmic Sobolev and a new type of Shannon’s inequalities and an application to the uncertainty principle. (English) Zbl 1471.26007 Proc. Am. Math. Soc. 147, No. 4, 1511-1518 (2019). MSC: 26D10 39B62 94A17 PDFBibTeX XMLCite \textit{H. Kubo} et al., Proc. Am. Math. Soc. 147, No. 4, 1511--1518 (2019; Zbl 1471.26007) Full Text: DOI
Maduta, Alexandra; Otrocol, Diana; Rasa, Ioan Inequalities for indices of coincidence and entropies. arXiv:1910.13491 Preprint, arXiv:1910.13491 [math.CA] (2019). MSC: 39B22 39B62 94A17 26D07 BibTeX Cite \textit{A. Maduta} et al., ``Inequalities for indices of coincidence and entropies'', Preprint, arXiv:1910.13491 [math.CA] (2019) Full Text: arXiv OA License
De Palma, Giacomo; Huber, Stefan The conditional entropy power inequality for quantum additive noise channels. (English) Zbl 1404.81058 J. Math. Phys. 59, No. 12, 122201, 20 p. (2018). MSC: 81P45 94A40 94A17 94A24 39B62 PDFBibTeX XMLCite \textit{G. De Palma} and \textit{S. Huber}, J. Math. Phys. 59, No. 12, 122201, 20 p. (2018; Zbl 1404.81058) Full Text: DOI arXiv
Carioni, Marcello A convex decomposition formula for the Mumford-Shah functional in dimension one. (English) Zbl 1405.49035 J. Convex Anal. 25, No. 4, 1197-1221 (2018). Reviewer: Sorin-Mihai Grad (Vienna) MSC: 49Q20 94A08 39B62 PDFBibTeX XMLCite \textit{M. Carioni}, J. Convex Anal. 25, No. 4, 1197--1221 (2018; Zbl 1405.49035) Full Text: arXiv Link
Zhang, Lin; Wu, Jun-De; Fei, Shao-Ming The saturation of several universal inequalities in information-processing. (English) Zbl 1311.81067 Commun. Theor. Phys. 63, No. 4, 427-430 (2015). MSC: 81P45 94A17 94A40 39B62 PDFBibTeX XMLCite \textit{L. Zhang} et al., Commun. Theor. Phys. 63, No. 4, 427--430 (2015; Zbl 1311.81067) Full Text: DOI arXiv
Rastegin, Alexey E. Further results on generalized conditional entropies. (English) Zbl 1395.94219 RAIRO, Theor. Inform. Appl. 49, No. 1, 67-92 (2015). Reviewer: Shigeru Furuichi (Tokyo) MSC: 94A17 62B10 39B62 PDFBibTeX XMLCite \textit{A. E. Rastegin}, RAIRO, Theor. Inform. Appl. 49, No. 1, 67--92 (2015; Zbl 1395.94219) Full Text: DOI
Toscani, Giuseppe Heat equation and convolution inequalities. (English) Zbl 1303.26023 Milan J. Math. 82, No. 2, 183-212 (2014). MSC: 26D15 39B62 94A17 PDFBibTeX XMLCite \textit{G. Toscani}, Milan J. Math. 82, No. 2, 183--212 (2014; Zbl 1303.26023) Full Text: DOI arXiv
Rastegin, Alexey E. Convexity inequalities for estimating generalized conditional entropies from below. (English) Zbl 1259.94034 Kybernetika 48, No. 2, 242-253 (2012). MSC: 94A17 60E15 62C10 39B62 PDFBibTeX XMLCite \textit{A. E. Rastegin}, Kybernetika 48, No. 2, 242--253 (2012; Zbl 1259.94034) Full Text: EuDML Link
Barthe, Franck The Brunn-Minkowski theorem and related geometric and functional inequalities. (English) Zbl 1099.39017 Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 1529-1546 (2006). MSC: 39B62 52A40 26D15 94A17 60F05 PDFBibTeX XMLCite \textit{F. Barthe}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS). 1529--1546 (2006; Zbl 1099.39017)
Cohen, Joel E.; Kemperman, Johannes H. B.; Zbăganu, Gheorghe H. A family of inequalities originating from coding of messages. (English) Zbl 1139.15009 Linear Algebra Appl. 395, 1-82 (2005). MSC: 15A45 39B62 26D15 94A15 60E15 PDFBibTeX XMLCite \textit{J. E. Cohen} et al., Linear Algebra Appl. 395, 1--82 (2005; Zbl 1139.15009) Full Text: DOI
Chan, Terence H.; Yeung, Raymond W. On a relation between information inequalities and group theory. (English) Zbl 1061.94009 IEEE Trans. Inf. Theory 48, No. 7, 1992-1995 (2002). MSC: 94A17 20D99 39B62 94A24 PDFBibTeX XMLCite \textit{T. H. Chan} and \textit{R. W. Yeung}, IEEE Trans. Inf. Theory 48, No. 7, 1992--1995 (2002; Zbl 1061.94009) Full Text: DOI
Sagi, Elad; Wong, Willy; Norwich, Kenneth H. Mathematical studies of the information in the stimulus-response matrix. (English) Zbl 1011.91080 J. Math. Psychol. 45, No. 1, 99-114 (2001). Reviewer: János Aczél (Waterloo / Ontario) MSC: 91E45 39B62 65F30 94A15 PDFBibTeX XMLCite \textit{E. Sagi} et al., J. Math. Psychol. 45, No. 1, 99--114 (2001; Zbl 1011.91080) Full Text: DOI
Sahoo, Prasanna K. On generalized Shannon functional inequality and its applications. (English) Zbl 1034.39016 Rassias, Themistocles M. (ed.), Survey on classical inequalities. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6483-X/hbk). Math. Appl., Dordr. 517, 203-224 (2000). Reviewer: János Aczél (Waterloo/Ontario) MSC: 39B62 94A17 39-02 26D15 PDFBibTeX XMLCite \textit{P. K. Sahoo}, Math. Appl., Dordr. 517, 203--224 (2000; Zbl 1034.39016)
Jiang, Qingtang Parameterization of m-channel orthogonal multifilter banks. (English) Zbl 0937.42018 Adv. Comput. Math. 12, No. 2-3, 189-211 (2000). MSC: 42C40 94A11 42A38 41A15 39B62 PDFBibTeX XMLCite \textit{Q. Jiang}, Adv. Comput. Math. 12, No. 2--3, 189--211 (2000; Zbl 0937.42018) Full Text: DOI
Ebanks, Bruce R.; Kannappan, Palaniappan; Sahoo, Prasanna K.; Sander, Wolfgang Characterizations of sum form information measures on open domains. (English) Zbl 0880.39019 Aequationes Math. 54, No. 1-2, 1-30 (1997). Reviewer: J.Aczél (Waterloo/Ontario) MSC: 39B22 26A24 28A20 39B62 94A17 PDFBibTeX XMLCite \textit{B. R. Ebanks} et al., Aequationes Math. 54, No. 1--2, 1--30 (1997; Zbl 0880.39019) Full Text: DOI EuDML
Páles, Zs. On a Pexider-type functional equation for quasideviation means. (English) Zbl 0641.39005 Acta Math. Hung. 51, No. 1-2, 205-224 (1988). Reviewer: J.Aczél MSC: 39B62 94A17 PDFBibTeX XMLCite \textit{Zs. Páles}, Acta Math. Hung. 51, No. 1--2, 205--224 (1988; Zbl 0641.39005) Full Text: DOI
Sander, Wolfgang The fundamental equation of information and its generalizations. (English) Zbl 0658.94006 Aequationes Math. 33, 150-182 (1987). Reviewer: G.Dial MSC: 94A17 39B62 39B99 39B52 PDFBibTeX XMLCite \textit{W. Sander}, Aequationes Math. 33, 150--182 (1987; Zbl 0658.94006) Full Text: DOI EuDML
Singh, R. P.; Goel, S. N. Additive information measures with preference of order \(\beta\). (English) Zbl 0633.94010 Inf. Sci. 43, 161-168 (1987). Reviewer: W.Sander MSC: 94A17 39B62 PDFBibTeX XMLCite \textit{R. P. Singh} and \textit{S. N. Goel}, Inf. Sci. 43, 161--168 (1987; Zbl 0633.94010) Full Text: DOI
Sander, Wolfgang A mixed theory of information. X: Information functions and information measures. (English) Zbl 0629.94008 J. Math. Anal. Appl. 126, 529-546 (1987). MSC: 94A17 39B62 PDFBibTeX XMLCite \textit{W. Sander}, J. Math. Anal. Appl. 126, 529--546 (1987; Zbl 0629.94008) Full Text: DOI
Kannappan, PL.; Sahoo, P. K. On a functional equation connected to sum form nonadditive information measures on an open domain. I. (English) Zbl 0609.39005 Kybernetika 22, 268-275 (1986). Reviewer: J.Aczél MSC: 39B99 39B62 94A17 PDFBibTeX XMLCite \textit{PL. Kannappan} and \textit{P. K. Sahoo}, Kybernetika 22, 268--275 (1986; Zbl 0609.39005) Full Text: EuDML
Sander, Wolfgang Weighted-additive deviations with the sum property. (English) Zbl 0597.39004 Manuscr. Math. 55, 373-384 (1986). Reviewer: Pl.Kannappan MSC: 39B62 94A17 PDFBibTeX XMLCite \textit{W. Sander}, Manuscr. Math. 55, 373--384 (1986; Zbl 0597.39004) Full Text: DOI EuDML
Kannappan, PL.; Ng, C. T. On functional equations and measures of information. I. (English) Zbl 0624.39004 Publ. Math. Debr. 32, 243-249 (1985). Reviewer: I.J.Taneja MSC: 39B62 94A17 PDFBibTeX XMLCite \textit{PL. Kannappan} and \textit{C. T. Ng}, Publ. Math. Debr. 32, 243--249 (1985; Zbl 0624.39004)
Kannappan, PL.; Sahoo, P. K. On a functional equation connected to sum form nonadditive information measures on an open domain. III. (English) Zbl 0609.39006 Stochastica 9, 111-124 (1985). Reviewer: J.Aczél MSC: 39B99 39B62 94A17 PDFBibTeX XMLCite \textit{PL. Kannappan} and \textit{P. K. Sahoo}, Stochastica 9, 111--124 (1985; Zbl 0609.39006) Full Text: EuDML
Santanna, Annibal P.; Taneja, Inder Jeet Trigonometric entropies, Jensen difference divergence measures, and error bounds. (English) Zbl 0582.94009 Inf. Sci. 35, 145-156 (1985). Reviewer: W.Sander MSC: 94A15 94A17 39B62 PDFBibTeX XMLCite \textit{A. P. Santanna} and \textit{I. J. Taneja}, Inf. Sci. 35, 145--156 (1985; Zbl 0582.94009) Full Text: DOI
Losonczi, L. An extension theorem. (English) Zbl 0572.39004 Aequationes Math. 28, 293-299 (1985). Reviewer: Pl.Kannappan MSC: 39B62 39B42 94A17 PDFBibTeX XMLCite \textit{L. Losonczi}, Aequationes Math. 28, 293--299 (1985; Zbl 0572.39004) Full Text: DOI EuDML
Ebanks, B. R. Measurable solutions of functional equations connected with information measures on open domains. (English) Zbl 0563.39005 Util. Math. 27, 217-223 (1985). MSC: 39B62 39B99 94A17 PDFBibTeX XMLCite \textit{B. R. Ebanks}, Util. Math. 27, 217--223 (1985; Zbl 0563.39005)
Ebanks, B. R. Measurable solutions of functional equations connected with information measures on open domains. (English) Zbl 0548.39006 Util. Math. (to appear). MSC: 39B62 39B99 94A17 PDFBibTeX XML
Dial, Gur On measurable solutions of a functional equation and its application to information theory. (English) Zbl 0553.39006 Kybernetika 20, 78-82 (1984). Reviewer: I.J.Taneja MSC: 39B62 94A17 PDFBibTeX XMLCite \textit{G. Dial}, Kybernetika 20, 78--82 (1984; Zbl 0553.39006) Full Text: EuDML
Vyas, R. L.; Goyal, A. N. On continuous solutions of a functional equation. (English) Zbl 0551.39006 Ann. Soc. Sci. Bruxelles, Sér. I 98, 29-38 (1984). Reviewer: P.N.Rathie MSC: 39B62 94A17 PDFBibTeX XMLCite \textit{R. L. Vyas} and \textit{A. N. Goyal}, Ann. Soc. Sci. Brux., Sér. I 98, 29--38 (1984; Zbl 0551.39006)
Kannappan, P. L.; Ng, C. T. On a generalized fundamental equation of information. (English) Zbl 0505.39009 Can. J. Math. (to appear). MSC: 39B62 94A17 PDFBibTeX XML
Kannappan, PL. On a generalization of sum form functional equation. I. (English) Zbl 0563.39004 Stochastica 7, 97-109 (1983). Reviewer: C.T.Ng MSC: 39B62 94A17 PDFBibTeX XMLCite \textit{PL. Kannappan}, Stochastica 7, 97--109 (1983; Zbl 0563.39004) Full Text: EuDML
Ebanks, Bruce R. On measures of fuzziness and their representations. (English) Zbl 0523.94036 J. Math. Anal. Appl. 94, 24-37 (1983). MSC: 94D05 39B99 39B62 94A17 PDFBibTeX XMLCite \textit{B. R. Ebanks}, J. Math. Anal. Appl. 94, 24--37 (1983; Zbl 0523.94036) Full Text: DOI
Kannappan, P. L.; Ng, C. T. On a generalized fundamental equation of information. (English) Zbl 0522.39009 Can. J. Math. 35, 862-872 (1983). MSC: 39B62 94A17 PDFBibTeX XMLCite \textit{P. L. Kannappan} and \textit{C. T. Ng}, Can. J. Math. 35, 862--872 (1983; Zbl 0522.39009) Full Text: DOI
Poggi, Carla On a system of functional equations connected with the locality concept of information theory. (Italian. French, English summaries) Zbl 0582.39012 Rend. Semin. Fac. Sci. Univ. Cagliari 52, No. 2, 57-68 (1982). MSC: 39B62 94A15 PDFBibTeX XMLCite \textit{C. Poggi}, Rend. Semin. Fac. Sci. Univ. Cagliari 52, No. 2, 57--68 (1982; Zbl 0582.39012)
Poggi, Carla Informazione relativa in uno spazio con legge d’indipendenza qualsiasi. (Italian) Zbl 0521.94007 Stochastica 6, 57-67 (1982). MSC: 94A17 39B62 PDFBibTeX XMLCite \textit{C. Poggi}, Stochastica 6, 57--67 (1982; Zbl 0521.94007) Full Text: EuDML
Kannappan, Pl. On some functional equations from additive and non-additive measures. V. (English) Zbl 0509.39013 Util. Math. 22, 141-147 (1982). MSC: 39B62 39B99 94A17 PDFBibTeX XMLCite \textit{Pl. Kannappan}, Util. Math. 22, 141--147 (1982; Zbl 0509.39013)
Maksa, Gy. Solution on the open triangle of the generalized fundamental equation of information with four unknown functions. (English) Zbl 0497.94003 Util. Math. 21C, 267-282 (1982). MSC: 94A17 39B62 PDFBibTeX XML
Kannappan, P. L. Information functions on open domain. IV. (English) Zbl 0494.94002 C. R. Math. Acad. Sci., Soc. R. Can. 4, 207-212 (1982). MSC: 94A17 39B99 39B42 39B62 PDFBibTeX XMLCite \textit{P. L. Kannappan}, C. R. Math. Acad. Sci., Soc. R. Can. 4, 207--212 (1982; Zbl 0494.94002)
Aczél, János; Kannappan, Pl. General two-place information functions. (English) Zbl 0489.94005 Result. Math. 5, 99-106 (1982). MSC: 94A17 39B99 39B62 PDFBibTeX XMLCite \textit{J. Aczél} and \textit{Pl. Kannappan}, Result. Math. 5, 99--106 (1982; Zbl 0489.94005) Full Text: DOI
Kannappan, Pl. On a generalization of sum form functional equation. IV. (English) Zbl 0509.39012 Indian J. Math. 22, 257-262 (1980). MSC: 39B62 94A17 PDFBibTeX XMLCite \textit{Pl. Kannappan}, Indian J. Math. 22, 257--262 (1980; Zbl 0509.39012)
Kardos, Peter A generalization of Bellman’s functional equation. (English) Zbl 0467.39003 Aequationes Math. 21, 236-245 (1980). MSC: 39B62 90C39 94A17 PDFBibTeX XMLCite \textit{P. Kardos}, Aequationes Math. 21, 236--245 (1980; Zbl 0467.39003) Full Text: DOI EuDML
Kannappan, Pl. A mixed theory of information. IV: Inset-inaccuracy and directed divergence. (English) Zbl 0433.94005 Metrika 27, 91-98 (1980). MSC: 94A17 28A20 39B62 06E20 PDFBibTeX XMLCite \textit{Pl. Kannappan}, Metrika 27, 91--98 (1980; Zbl 0433.94005) Full Text: DOI EuDML
Nath, Prem On some functional equations connected with various entropies in information theory. (English) Zbl 0416.39003 Nanta Math. 12, 48-61 (1979). MSC: 39B99 94A17 39B62 PDFBibTeX XMLCite \textit{P. Nath}, Nanta Math. 12, 48--61 (1979; Zbl 0416.39003)
Soni, Raminder Singh Entropy and information of comparison under generalized additivity and non-additivity. (English) Zbl 0412.94014 Indian J. Pure Appl. Math. 10, 867-877 (1979). MSC: 94A17 39B62 39B99 PDFBibTeX XMLCite \textit{R. S. Soni}, Indian J. Pure Appl. Math. 10, 867--877 (1979; Zbl 0412.94014)
Aczél, János; Kannappan, Pl. On some symmetric recursive inset measures of information. (English) Zbl 0409.94007 Information theory, statistical decision functions, random processes; Trans. 8th Prague Conf., Vol. C, Prague 1978, 11-16 (1979). Reviewer: János Aczél (Waterloo, Ontario) MSC: 94A17 39B62 39B99 PDFBibTeX XML
Kannappan, Pl. Addendum to my paper ”On Shannon’s entropy and a functional equation of Abel”. (English) Zbl 0393.39003 Period. Math. Hung. 9, 297-298 (1978). MSC: 39B62 94A15 94A24 PDFBibTeX XMLCite \textit{Pl. Kannappan}, Period. Math. Hung. 9, 297--298 (1978; Zbl 0393.39003) Full Text: DOI
Kannappan, PL. Note on generalized information function. (English) Zbl 0384.39003 Tohoku Math. J., II. Ser. 30, 251-255 (1978). MSC: 39B62 94A15 PDFBibTeX XMLCite \textit{PL. Kannappan}, Tôhoku Math. J. (2) 30, 251--255 (1978; Zbl 0384.39003) Full Text: DOI
Benvenuti, Pietro The solution of a system of functional equations in the information theory. (Italian) Zbl 0231.94012 Rend. Mat., VI. Ser. 2, 99-110 (1969). MSC: 94A17 39B62 PDFBibTeX XMLCite \textit{P. Benvenuti}, Rend. Mat., VI. Ser. 2, 99--110 (1969; Zbl 0231.94012)