Some Hadamard-Type Integral Inequalities Involving Modified Harmonic Exponential Type Convexity

The term convexity and theory of inequalities is an enormous and intriguing domain of research in the realm of mathematical comprehension. Due to its applications in multiple areas of science, the theory of convexity and inequalities have recently attracted a lot of attention from historians and mod...
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Gespeichert in:

Autor*in:	Asif Ali Shaikh [verfasserIn] Evren Hincal [verfasserIn] Sotiris K. Ntouyas [verfasserIn] Jessada Tariboon [verfasserIn] Muhammad Tariq [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	convex function Holder’s inequality Hermite–Hadamard inequality

Übergeordnetes Werk:	In: Axioms - MDPI AG, 2012, 12(2023), 5, p 454
Übergeordnetes Werk:	volume:12 ; year:2023 ; number:5, p 454

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/axioms12050454

Katalog-ID:	DOAJ094420017

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spelling	10.3390/axioms12050454 doi (DE-627)DOAJ094420017 (DE-599)DOAJ86044e8a7e5942f48d3ebc0c8950e217 DE-627 ger DE-627 rakwb eng QA1-939 Asif Ali Shaikh verfasserin aut Some Hadamard-Type Integral Inequalities Involving Modified Harmonic Exponential Type Convexity 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The term convexity and theory of inequalities is an enormous and intriguing domain of research in the realm of mathematical comprehension. Due to its applications in multiple areas of science, the theory of convexity and inequalities have recently attracted a lot of attention from historians and modern researchers. This article explores the concept of a new group of modified harmonic exponential s-convex functions. Some of its significant algebraic properties are elegantly elaborated to maintain the newly described idea. A new sort of Hermite–Hadamard-type integral inequality using this new concept of the function is investigated. In addition, several new estimates of Hermite–Hadamard inequality are presented to improve the study. These new results illustrate some generalizations of prior findings in the literature. convex function <i<m</i<-convexity Holder’s inequality Hermite–Hadamard inequality Mathematics Evren Hincal verfasserin aut Sotiris K. Ntouyas verfasserin aut Jessada Tariboon verfasserin aut Muhammad Tariq verfasserin aut In Axioms MDPI AG, 2012 12(2023), 5, p 454 (DE-627)718622030 (DE-600)2661511-3 20751680 nnns volume:12 year:2023 number:5, p 454 https://doi.org/10.3390/axioms12050454 kostenfrei https://doaj.org/article/86044e8a7e5942f48d3ebc0c8950e217 kostenfrei https://www.mdpi.com/2075-1680/12/5/454 kostenfrei https://doaj.org/toc/2075-1680 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 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_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2031 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2111 GBV_ILN_2190 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 AR 12 2023 5, p 454
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allfieldsSound	10.3390/axioms12050454 doi (DE-627)DOAJ094420017 (DE-599)DOAJ86044e8a7e5942f48d3ebc0c8950e217 DE-627 ger DE-627 rakwb eng QA1-939 Asif Ali Shaikh verfasserin aut Some Hadamard-Type Integral Inequalities Involving Modified Harmonic Exponential Type Convexity 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The term convexity and theory of inequalities is an enormous and intriguing domain of research in the realm of mathematical comprehension. Due to its applications in multiple areas of science, the theory of convexity and inequalities have recently attracted a lot of attention from historians and modern researchers. This article explores the concept of a new group of modified harmonic exponential s-convex functions. Some of its significant algebraic properties are elegantly elaborated to maintain the newly described idea. A new sort of Hermite–Hadamard-type integral inequality using this new concept of the function is investigated. In addition, several new estimates of Hermite–Hadamard inequality are presented to improve the study. These new results illustrate some generalizations of prior findings in the literature. convex function <i<m</i<-convexity Holder’s inequality Hermite–Hadamard inequality Mathematics Evren Hincal verfasserin aut Sotiris K. Ntouyas verfasserin aut Jessada Tariboon verfasserin aut Muhammad Tariq verfasserin aut In Axioms MDPI AG, 2012 12(2023), 5, p 454 (DE-627)718622030 (DE-600)2661511-3 20751680 nnns volume:12 year:2023 number:5, p 454 https://doi.org/10.3390/axioms12050454 kostenfrei https://doaj.org/article/86044e8a7e5942f48d3ebc0c8950e217 kostenfrei https://www.mdpi.com/2075-1680/12/5/454 kostenfrei https://doaj.org/toc/2075-1680 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 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_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2031 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2111 GBV_ILN_2190 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 AR 12 2023 5, p 454
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spellingShingle	Asif Ali Shaikh misc QA1-939 misc convex function misc <i<m</i<-convexity misc Holder’s inequality misc Hermite–Hadamard inequality misc Mathematics Some Hadamard-Type Integral Inequalities Involving Modified Harmonic Exponential Type Convexity
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topic_title	QA1-939 Some Hadamard-Type Integral Inequalities Involving Modified Harmonic Exponential Type Convexity convex function <i<m</i<-convexity Holder’s inequality Hermite–Hadamard inequality
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title	Some Hadamard-Type Integral Inequalities Involving Modified Harmonic Exponential Type Convexity
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title_full	Some Hadamard-Type Integral Inequalities Involving Modified Harmonic Exponential Type Convexity
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title_sort	some hadamard-type integral inequalities involving modified harmonic exponential type convexity
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title_auth	Some Hadamard-Type Integral Inequalities Involving Modified Harmonic Exponential Type Convexity
abstract	The term convexity and theory of inequalities is an enormous and intriguing domain of research in the realm of mathematical comprehension. Due to its applications in multiple areas of science, the theory of convexity and inequalities have recently attracted a lot of attention from historians and modern researchers. This article explores the concept of a new group of modified harmonic exponential s-convex functions. Some of its significant algebraic properties are elegantly elaborated to maintain the newly described idea. A new sort of Hermite–Hadamard-type integral inequality using this new concept of the function is investigated. In addition, several new estimates of Hermite–Hadamard inequality are presented to improve the study. These new results illustrate some generalizations of prior findings in the literature.
abstractGer	The term convexity and theory of inequalities is an enormous and intriguing domain of research in the realm of mathematical comprehension. Due to its applications in multiple areas of science, the theory of convexity and inequalities have recently attracted a lot of attention from historians and modern researchers. This article explores the concept of a new group of modified harmonic exponential s-convex functions. Some of its significant algebraic properties are elegantly elaborated to maintain the newly described idea. A new sort of Hermite–Hadamard-type integral inequality using this new concept of the function is investigated. In addition, several new estimates of Hermite–Hadamard inequality are presented to improve the study. These new results illustrate some generalizations of prior findings in the literature.
abstract_unstemmed	The term convexity and theory of inequalities is an enormous and intriguing domain of research in the realm of mathematical comprehension. Due to its applications in multiple areas of science, the theory of convexity and inequalities have recently attracted a lot of attention from historians and modern researchers. This article explores the concept of a new group of modified harmonic exponential s-convex functions. Some of its significant algebraic properties are elegantly elaborated to maintain the newly described idea. A new sort of Hermite–Hadamard-type integral inequality using this new concept of the function is investigated. In addition, several new estimates of Hermite–Hadamard inequality are presented to improve the study. These new results illustrate some generalizations of prior findings in the literature.
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title_short	Some Hadamard-Type Integral Inequalities Involving Modified Harmonic Exponential Type Convexity
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Some Hadamard-Type Integral Inequalities Involving Modified Harmonic Exponential Type Convexity

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