Multiple Diamond-Alpha Integral in General Form and Their Properties, Applications

In this paper, we introduce the concept of <i<n</i<-dimensional Diamond-Alpha integral on time scales. In particular, it transforms into multiple Delta, Nabla and mixed integrals by taking different values of alpha. Some of its properties are explored, and the relationship between it and...
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Autor*in:	Zhong-Xuan Mao [verfasserIn] Ya-Ru Zhu [verfasserIn] Jun-Ping Hou [verfasserIn] Chun-Ping Ma [verfasserIn] Shi-Pu Liu [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	multiple Diamond-Alpha integral Ostrowski type inequalities Delta integral Nabla integral

Übergeordnetes Werk:	In: Mathematics - MDPI AG, 2013, 9(2021), 10, p 1123
Übergeordnetes Werk:	volume:9 ; year:2021 ; number:10, p 1123

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/math9101123

Katalog-ID:	DOAJ052887936

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allfieldsSound	10.3390/math9101123 doi (DE-627)DOAJ052887936 (DE-599)DOAJ7337a9e8efc24fcca1aff277203b84a2 DE-627 ger DE-627 rakwb eng QA1-939 Zhong-Xuan Mao verfasserin aut Multiple Diamond-Alpha Integral in General Form and Their Properties, Applications 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we introduce the concept of <i<n</i<-dimensional Diamond-Alpha integral on time scales. In particular, it transforms into multiple Delta, Nabla and mixed integrals by taking different values of alpha. Some of its properties are explored, and the relationship between it and the multiple mixed integral is provided. As an application, we establish some weighted Ostrowski type inequalities through the new integral. These new inequalities expand some known inequalities in the monographs and papers, and in addition, furnish some other interesting inequalities. Examples of Ostrowski type inequalities are posed in detail at the end of the paper. multiple Diamond-Alpha integral Ostrowski type inequalities Delta integral Nabla integral Mathematics Ya-Ru Zhu verfasserin aut Jun-Ping Hou verfasserin aut Chun-Ping Ma verfasserin aut Shi-Pu Liu verfasserin aut In Mathematics MDPI AG, 2013 9(2021), 10, p 1123 (DE-627)737287764 (DE-600)2704244-3 22277390 nnns volume:9 year:2021 number:10, p 1123 https://doi.org/10.3390/math9101123 kostenfrei https://doaj.org/article/7337a9e8efc24fcca1aff277203b84a2 kostenfrei https://www.mdpi.com/2227-7390/9/10/1123 kostenfrei https://doaj.org/toc/2227-7390 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_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_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2014 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 AR 9 2021 10, p 1123
language	English
source	In Mathematics 9(2021), 10, p 1123 volume:9 year:2021 number:10, p 1123
sourceStr	In Mathematics 9(2021), 10, p 1123 volume:9 year:2021 number:10, p 1123
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institution	findex.gbv.de
topic_facet	multiple Diamond-Alpha integral Ostrowski type inequalities Delta integral Nabla integral Mathematics
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callnumber-first	Q - Science
author	Zhong-Xuan Mao
spellingShingle	Zhong-Xuan Mao misc QA1-939 misc multiple Diamond-Alpha integral misc Ostrowski type inequalities misc Delta integral misc Nabla integral misc Mathematics Multiple Diamond-Alpha Integral in General Form and Their Properties, Applications
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topic_title	QA1-939 Multiple Diamond-Alpha Integral in General Form and Their Properties, Applications multiple Diamond-Alpha integral Ostrowski type inequalities Delta integral Nabla integral
topic	misc QA1-939 misc multiple Diamond-Alpha integral misc Ostrowski type inequalities misc Delta integral misc Nabla integral misc Mathematics
topic_unstemmed	misc QA1-939 misc multiple Diamond-Alpha integral misc Ostrowski type inequalities misc Delta integral misc Nabla integral misc Mathematics
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title_sort	multiple diamond-alpha integral in general form and their properties, applications
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title_auth	Multiple Diamond-Alpha Integral in General Form and Their Properties, Applications
abstract	In this paper, we introduce the concept of <i<n</i<-dimensional Diamond-Alpha integral on time scales. In particular, it transforms into multiple Delta, Nabla and mixed integrals by taking different values of alpha. Some of its properties are explored, and the relationship between it and the multiple mixed integral is provided. As an application, we establish some weighted Ostrowski type inequalities through the new integral. These new inequalities expand some known inequalities in the monographs and papers, and in addition, furnish some other interesting inequalities. Examples of Ostrowski type inequalities are posed in detail at the end of the paper.
abstractGer	In this paper, we introduce the concept of <i<n</i<-dimensional Diamond-Alpha integral on time scales. In particular, it transforms into multiple Delta, Nabla and mixed integrals by taking different values of alpha. Some of its properties are explored, and the relationship between it and the multiple mixed integral is provided. As an application, we establish some weighted Ostrowski type inequalities through the new integral. These new inequalities expand some known inequalities in the monographs and papers, and in addition, furnish some other interesting inequalities. Examples of Ostrowski type inequalities are posed in detail at the end of the paper.
abstract_unstemmed	In this paper, we introduce the concept of <i<n</i<-dimensional Diamond-Alpha integral on time scales. In particular, it transforms into multiple Delta, Nabla and mixed integrals by taking different values of alpha. Some of its properties are explored, and the relationship between it and the multiple mixed integral is provided. As an application, we establish some weighted Ostrowski type inequalities through the new integral. These new inequalities expand some known inequalities in the monographs and papers, and in addition, furnish some other interesting inequalities. Examples of Ostrowski type inequalities are posed in detail at the end of the paper.
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Multiple Diamond-Alpha Integral in General Form and Their Properties, Applications

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