A note on generalized convex functions

Abstract In the article, we provide an example for a η-convex function defined on rectangle is not convex, prove that every η-convex function defined on rectangle is coordinate η-convex and its converse is not true in general, define the coordinate $(\eta _{1}, \eta _{2})$-convex function and establ...
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Autor*in:	Zaheer Ullah, Syed [verfasserIn] Adil Khan, Muhammad [verfasserIn] Chu, Yu-Ming [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

Schlagwörter:	Convex function Coordinate convex function -convex function Coordinate

Übergeordnetes Werk:	Enthalten in: Journal of inequalities and applications - Heidelberg : Springer, 2005, 2019(2019), 1 vom: 12. Nov.
Übergeordnetes Werk:	volume:2019 ; year:2019 ; number:1 ; day:12 ; month:11

Links:	Volltext

DOI / URN:	10.1186/s13660-019-2242-0

Katalog-ID:	SPR032642660

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spelling	10.1186/s13660-019-2242-0 doi (DE-627)SPR032642660 (SPR)s13660-019-2242-0-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Zaheer Ullah, Syed verfasserin aut A note on generalized convex functions 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In the article, we provide an example for a η-convex function defined on rectangle is not convex, prove that every η-convex function defined on rectangle is coordinate η-convex and its converse is not true in general, define the coordinate $(\eta _{1}, \eta _{2})$-convex function and establish its Hermite–Hadamard type inequality. Convex function (dpeaa)DE-He213 Coordinate convex function (dpeaa)DE-He213 -convex function (dpeaa)DE-He213 Coordinate (dpeaa)DE-He213 -convex function (dpeaa)DE-He213 Adil Khan, Muhammad verfasserin aut Chu, Yu-Ming verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2019(2019), 1 vom: 12. Nov. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2019 year:2019 number:1 day:12 month:11 https://dx.doi.org/10.1186/s13660-019-2242-0 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 2019 2019 1 12 11
allfields_unstemmed	10.1186/s13660-019-2242-0 doi (DE-627)SPR032642660 (SPR)s13660-019-2242-0-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Zaheer Ullah, Syed verfasserin aut A note on generalized convex functions 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In the article, we provide an example for a η-convex function defined on rectangle is not convex, prove that every η-convex function defined on rectangle is coordinate η-convex and its converse is not true in general, define the coordinate $(\eta _{1}, \eta _{2})$-convex function and establish its Hermite–Hadamard type inequality. Convex function (dpeaa)DE-He213 Coordinate convex function (dpeaa)DE-He213 -convex function (dpeaa)DE-He213 Coordinate (dpeaa)DE-He213 -convex function (dpeaa)DE-He213 Adil Khan, Muhammad verfasserin aut Chu, Yu-Ming verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2019(2019), 1 vom: 12. Nov. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2019 year:2019 number:1 day:12 month:11 https://dx.doi.org/10.1186/s13660-019-2242-0 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 2019 2019 1 12 11
allfieldsGer	10.1186/s13660-019-2242-0 doi (DE-627)SPR032642660 (SPR)s13660-019-2242-0-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Zaheer Ullah, Syed verfasserin aut A note on generalized convex functions 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In the article, we provide an example for a η-convex function defined on rectangle is not convex, prove that every η-convex function defined on rectangle is coordinate η-convex and its converse is not true in general, define the coordinate $(\eta _{1}, \eta _{2})$-convex function and establish its Hermite–Hadamard type inequality. Convex function (dpeaa)DE-He213 Coordinate convex function (dpeaa)DE-He213 -convex function (dpeaa)DE-He213 Coordinate (dpeaa)DE-He213 -convex function (dpeaa)DE-He213 Adil Khan, Muhammad verfasserin aut Chu, Yu-Ming verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2019(2019), 1 vom: 12. Nov. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2019 year:2019 number:1 day:12 month:11 https://dx.doi.org/10.1186/s13660-019-2242-0 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 2019 2019 1 12 11
allfieldsSound	10.1186/s13660-019-2242-0 doi (DE-627)SPR032642660 (SPR)s13660-019-2242-0-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Zaheer Ullah, Syed verfasserin aut A note on generalized convex functions 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In the article, we provide an example for a η-convex function defined on rectangle is not convex, prove that every η-convex function defined on rectangle is coordinate η-convex and its converse is not true in general, define the coordinate $(\eta _{1}, \eta _{2})$-convex function and establish its Hermite–Hadamard type inequality. Convex function (dpeaa)DE-He213 Coordinate convex function (dpeaa)DE-He213 -convex function (dpeaa)DE-He213 Coordinate (dpeaa)DE-He213 -convex function (dpeaa)DE-He213 Adil Khan, Muhammad verfasserin aut Chu, Yu-Ming verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2019(2019), 1 vom: 12. Nov. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2019 year:2019 number:1 day:12 month:11 https://dx.doi.org/10.1186/s13660-019-2242-0 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 2019 2019 1 12 11
language	English
source	Enthalten in Journal of inequalities and applications 2019(2019), 1 vom: 12. Nov. volume:2019 year:2019 number:1 day:12 month:11
sourceStr	Enthalten in Journal of inequalities and applications 2019(2019), 1 vom: 12. Nov. volume:2019 year:2019 number:1 day:12 month:11
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Convex function Coordinate convex function -convex function Coordinate
dewey-raw	510
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container_title	Journal of inequalities and applications
authorswithroles_txt_mv	Zaheer Ullah, Syed @@aut@@ Adil Khan, Muhammad @@aut@@ Chu, Yu-Ming @@aut@@
publishDateDaySort_date	2019-11-12T00:00:00Z
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author	Zaheer Ullah, Syed
spellingShingle	Zaheer Ullah, Syed ddc 510 bkl 31.49 misc Convex function misc Coordinate convex function misc -convex function misc Coordinate A note on generalized convex functions
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topic_title	510 ASE 31.49 bkl A note on generalized convex functions Convex function (dpeaa)DE-He213 Coordinate convex function (dpeaa)DE-He213 -convex function (dpeaa)DE-He213 Coordinate (dpeaa)DE-He213
topic	ddc 510 bkl 31.49 misc Convex function misc Coordinate convex function misc -convex function misc Coordinate
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title	A note on generalized convex functions
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title_full	A note on generalized convex functions
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author_browse	Zaheer Ullah, Syed Adil Khan, Muhammad Chu, Yu-Ming
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title_sort	note on generalized convex functions
title_auth	A note on generalized convex functions
abstract	Abstract In the article, we provide an example for a η-convex function defined on rectangle is not convex, prove that every η-convex function defined on rectangle is coordinate η-convex and its converse is not true in general, define the coordinate $(\eta _{1}, \eta _{2})$-convex function and establish its Hermite–Hadamard type inequality.
abstractGer	Abstract In the article, we provide an example for a η-convex function defined on rectangle is not convex, prove that every η-convex function defined on rectangle is coordinate η-convex and its converse is not true in general, define the coordinate $(\eta _{1}, \eta _{2})$-convex function and establish its Hermite–Hadamard type inequality.
abstract_unstemmed	Abstract In the article, we provide an example for a η-convex function defined on rectangle is not convex, prove that every η-convex function defined on rectangle is coordinate η-convex and its converse is not true in general, define the coordinate $(\eta _{1}, \eta _{2})$-convex function and establish its Hermite–Hadamard type inequality.
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title_short	A note on generalized convex functions
url	https://dx.doi.org/10.1186/s13660-019-2242-0
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up_date	2024-07-03T14:00:31.668Z
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score	7.400483

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A note on generalized convex functions

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