Some new k-Riemann–Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus [Formula: see text]

A new class of quasiconvexity called strongly η-quasiconvex function was introduced in (Awan et al. in Filomat 31(18):5783–5790, 2017). In this paper, we obtain some new k-Riemann–Liouville fractional integral inequalities associated with this class of functions. For specific values of the associate...

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Detalles Bibliográficos
Autores principales: Nwaeze, Eze R., Kermausuor, Seth, Tameru, Ana M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6010507/
https://www.ncbi.nlm.nih.gov/pubmed/30137726
http://dx.doi.org/10.1186/s13660-018-1736-5
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author Nwaeze, Eze R.
Kermausuor, Seth
Tameru, Ana M.
author_facet Nwaeze, Eze R.
Kermausuor, Seth
Tameru, Ana M.
author_sort Nwaeze, Eze R.
collection PubMed
description A new class of quasiconvexity called strongly η-quasiconvex function was introduced in (Awan et al. in Filomat 31(18):5783–5790, 2017). In this paper, we obtain some new k-Riemann–Liouville fractional integral inequalities associated with this class of functions. For specific values of the associated parameters, we recover results due to Dragomir and Pearce (Bull. Aust. Math. Soc. 57:377–385, 1998), Ion (Ann. Univ. Craiova, Math. Sci. Ser. 34:82–87, 2007), and Alomari et al. (RGMIA Res. Rep. Collect. 12(Supplement):Article ID 14, 2009).
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spelling pubmed-60105072018-06-25 Some new k-Riemann–Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus [Formula: see text] Nwaeze, Eze R. Kermausuor, Seth Tameru, Ana M. J Inequal Appl Research A new class of quasiconvexity called strongly η-quasiconvex function was introduced in (Awan et al. in Filomat 31(18):5783–5790, 2017). In this paper, we obtain some new k-Riemann–Liouville fractional integral inequalities associated with this class of functions. For specific values of the associated parameters, we recover results due to Dragomir and Pearce (Bull. Aust. Math. Soc. 57:377–385, 1998), Ion (Ann. Univ. Craiova, Math. Sci. Ser. 34:82–87, 2007), and Alomari et al. (RGMIA Res. Rep. Collect. 12(Supplement):Article ID 14, 2009). Springer International Publishing 2018-06-20 2018 /pmc/articles/PMC6010507/ /pubmed/30137726 http://dx.doi.org/10.1186/s13660-018-1736-5 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Nwaeze, Eze R.
Kermausuor, Seth
Tameru, Ana M.
Some new k-Riemann–Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus [Formula: see text]
title Some new k-Riemann–Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus [Formula: see text]
title_full Some new k-Riemann–Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus [Formula: see text]
title_fullStr Some new k-Riemann–Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus [Formula: see text]
title_full_unstemmed Some new k-Riemann–Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus [Formula: see text]
title_short Some new k-Riemann–Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus [Formula: see text]
title_sort some new k-riemann–liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus [formula: see text]
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6010507/
https://www.ncbi.nlm.nih.gov/pubmed/30137726
http://dx.doi.org/10.1186/s13660-018-1736-5
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