New refinement of the Jensen inequality associated to certain functions with applications

Abstract This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are given in information theory. A more general refinement of Jensen inequality is prese...
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Autor*in:	Adil Khan, Muhammad [verfasserIn] Pečarić, Ðilda [verfasserIn] Pečarić, Josip [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2020

Schlagwörter:	Jensen’s inequality Convex functions Hölder inequality Means Csiszár divergence Shannon entropy

Übergeordnetes Werk:	Enthalten in: Journal of inequalities and applications - Heidelberg : Springer, 2005, 2020(2020), 1 vom: 19. März
Übergeordnetes Werk:	volume:2020 ; year:2020 ; number:1 ; day:19 ; month:03

Links:	Volltext

DOI / URN:	10.1186/s13660-020-02343-7

Katalog-ID:	SPR039148149

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spelling	10.1186/s13660-020-02343-7 doi (DE-627)SPR039148149 (SPR)s13660-020-02343-7-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Adil Khan, Muhammad verfasserin aut New refinement of the Jensen inequality associated to certain functions with applications 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are given in information theory. A more general refinement of Jensen inequality is presented associated to n functions. Jensen’s inequality (dpeaa)DE-He213 Convex functions (dpeaa)DE-He213 Hölder inequality (dpeaa)DE-He213 Means (dpeaa)DE-He213 Csiszár divergence (dpeaa)DE-He213 Shannon entropy (dpeaa)DE-He213 Pečarić, Ðilda verfasserin aut Pečarić, Josip verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2020(2020), 1 vom: 19. März (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2020 year:2020 number:1 day:19 month:03 https://dx.doi.org/10.1186/s13660-020-02343-7 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2020 2020 1 19 03
allfields_unstemmed	10.1186/s13660-020-02343-7 doi (DE-627)SPR039148149 (SPR)s13660-020-02343-7-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Adil Khan, Muhammad verfasserin aut New refinement of the Jensen inequality associated to certain functions with applications 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are given in information theory. A more general refinement of Jensen inequality is presented associated to n functions. Jensen’s inequality (dpeaa)DE-He213 Convex functions (dpeaa)DE-He213 Hölder inequality (dpeaa)DE-He213 Means (dpeaa)DE-He213 Csiszár divergence (dpeaa)DE-He213 Shannon entropy (dpeaa)DE-He213 Pečarić, Ðilda verfasserin aut Pečarić, Josip verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2020(2020), 1 vom: 19. März (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2020 year:2020 number:1 day:19 month:03 https://dx.doi.org/10.1186/s13660-020-02343-7 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2020 2020 1 19 03
allfieldsGer	10.1186/s13660-020-02343-7 doi (DE-627)SPR039148149 (SPR)s13660-020-02343-7-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Adil Khan, Muhammad verfasserin aut New refinement of the Jensen inequality associated to certain functions with applications 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are given in information theory. A more general refinement of Jensen inequality is presented associated to n functions. Jensen’s inequality (dpeaa)DE-He213 Convex functions (dpeaa)DE-He213 Hölder inequality (dpeaa)DE-He213 Means (dpeaa)DE-He213 Csiszár divergence (dpeaa)DE-He213 Shannon entropy (dpeaa)DE-He213 Pečarić, Ðilda verfasserin aut Pečarić, Josip verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2020(2020), 1 vom: 19. März (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2020 year:2020 number:1 day:19 month:03 https://dx.doi.org/10.1186/s13660-020-02343-7 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2020 2020 1 19 03
allfieldsSound	10.1186/s13660-020-02343-7 doi (DE-627)SPR039148149 (SPR)s13660-020-02343-7-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Adil Khan, Muhammad verfasserin aut New refinement of the Jensen inequality associated to certain functions with applications 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are given in information theory. A more general refinement of Jensen inequality is presented associated to n functions. Jensen’s inequality (dpeaa)DE-He213 Convex functions (dpeaa)DE-He213 Hölder inequality (dpeaa)DE-He213 Means (dpeaa)DE-He213 Csiszár divergence (dpeaa)DE-He213 Shannon entropy (dpeaa)DE-He213 Pečarić, Ðilda verfasserin aut Pečarić, Josip verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2020(2020), 1 vom: 19. März (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2020 year:2020 number:1 day:19 month:03 https://dx.doi.org/10.1186/s13660-020-02343-7 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2020 2020 1 19 03
language	English
source	Enthalten in Journal of inequalities and applications 2020(2020), 1 vom: 19. März volume:2020 year:2020 number:1 day:19 month:03
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topic_facet	Jensen’s inequality Convex functions Hölder inequality Means Csiszár divergence Shannon entropy
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author	Adil Khan, Muhammad
spellingShingle	Adil Khan, Muhammad ddc 510 bkl 31.49 misc Jensen’s inequality misc Convex functions misc Hölder inequality misc Means misc Csiszár divergence misc Shannon entropy New refinement of the Jensen inequality associated to certain functions with applications
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topic_title	510 ASE 31.49 bkl New refinement of the Jensen inequality associated to certain functions with applications Jensen’s inequality (dpeaa)DE-He213 Convex functions (dpeaa)DE-He213 Hölder inequality (dpeaa)DE-He213 Means (dpeaa)DE-He213 Csiszár divergence (dpeaa)DE-He213 Shannon entropy (dpeaa)DE-He213
topic	ddc 510 bkl 31.49 misc Jensen’s inequality misc Convex functions misc Hölder inequality misc Means misc Csiszár divergence misc Shannon entropy
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title	New refinement of the Jensen inequality associated to certain functions with applications
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title_full	New refinement of the Jensen inequality associated to certain functions with applications
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title_sort	new refinement of the jensen inequality associated to certain functions with applications
title_auth	New refinement of the Jensen inequality associated to certain functions with applications
abstract	Abstract This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are given in information theory. A more general refinement of Jensen inequality is presented associated to n functions.
abstractGer	Abstract This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are given in information theory. A more general refinement of Jensen inequality is presented associated to n functions.
abstract_unstemmed	Abstract This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are given in information theory. A more general refinement of Jensen inequality is presented associated to n functions.
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title_short	New refinement of the Jensen inequality associated to certain functions with applications
url	https://dx.doi.org/10.1186/s13660-020-02343-7
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New refinement of the Jensen inequality associated to certain functions with applications

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