On Fejér Type Inequalities via (<i>p</i>,<i>q</i>)-Calculus
In this paper, we use <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>p</mi><mo>,</mo><mi>q</mi><mo>)</mo></mrow></semanti...
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MDPI AG
2021-05-01
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Series: | Symmetry |
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Online Access: | https://www.mdpi.com/2073-8994/13/6/953 |
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author | Nuttapong Arunrat Keaitsuda Maneeruk Nakprasit Kamsing Nonlaopon Jessada Tariboon Sotiris K. Ntouyas |
author_facet | Nuttapong Arunrat Keaitsuda Maneeruk Nakprasit Kamsing Nonlaopon Jessada Tariboon Sotiris K. Ntouyas |
author_sort | Nuttapong Arunrat |
collection | DOAJ |
description | In this paper, we use <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>p</mi><mo>,</mo><mi>q</mi><mo>)</mo></mrow></semantics></math></inline-formula>-integral to establish some Fejér type inequalities. In particular, we generalize and correct existing results of quantum Fejér type inequalities by using new techniques and showing some problematic parts of those results. Most of the inequalities presented in this paper are significant extensions of results which appear in existing literatures. |
first_indexed | 2024-03-10T10:58:53Z |
format | Article |
id | doaj.art-c0abfa77e1a64140a7966e2422cf89d3 |
institution | Directory Open Access Journal |
issn | 2073-8994 |
language | English |
last_indexed | 2024-03-10T10:58:53Z |
publishDate | 2021-05-01 |
publisher | MDPI AG |
record_format | Article |
series | Symmetry |
spelling | doaj.art-c0abfa77e1a64140a7966e2422cf89d32023-11-21T21:39:47ZengMDPI AGSymmetry2073-89942021-05-0113695310.3390/sym13060953On Fejér Type Inequalities via (<i>p</i>,<i>q</i>)-CalculusNuttapong Arunrat0Keaitsuda Maneeruk Nakprasit1Kamsing Nonlaopon2Jessada Tariboon3Sotiris K. Ntouyas4Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandDepartment of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandDepartment of Mathematics, University of Ioannina, 451 10 Ioannina, GreeceIn this paper, we use <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>p</mi><mo>,</mo><mi>q</mi><mo>)</mo></mrow></semantics></math></inline-formula>-integral to establish some Fejér type inequalities. In particular, we generalize and correct existing results of quantum Fejér type inequalities by using new techniques and showing some problematic parts of those results. Most of the inequalities presented in this paper are significant extensions of results which appear in existing literatures.https://www.mdpi.com/2073-8994/13/6/953Fejér type inequalitiessymmetric function(<i>p</i>,<i>q</i>)-calculus(<i>p</i>,<i>q</i>)-derivative(<i>p</i>,<i>q</i>)-integral |
spellingShingle | Nuttapong Arunrat Keaitsuda Maneeruk Nakprasit Kamsing Nonlaopon Jessada Tariboon Sotiris K. Ntouyas On Fejér Type Inequalities via (<i>p</i>,<i>q</i>)-Calculus Symmetry Fejér type inequalities symmetric function (<i>p</i>,<i>q</i>)-calculus (<i>p</i>,<i>q</i>)-derivative (<i>p</i>,<i>q</i>)-integral |
title | On Fejér Type Inequalities via (<i>p</i>,<i>q</i>)-Calculus |
title_full | On Fejér Type Inequalities via (<i>p</i>,<i>q</i>)-Calculus |
title_fullStr | On Fejér Type Inequalities via (<i>p</i>,<i>q</i>)-Calculus |
title_full_unstemmed | On Fejér Type Inequalities via (<i>p</i>,<i>q</i>)-Calculus |
title_short | On Fejér Type Inequalities via (<i>p</i>,<i>q</i>)-Calculus |
title_sort | on fejer type inequalities via i p i i q i calculus |
topic | Fejér type inequalities symmetric function (<i>p</i>,<i>q</i>)-calculus (<i>p</i>,<i>q</i>)-derivative (<i>p</i>,<i>q</i>)-integral |
url | https://www.mdpi.com/2073-8994/13/6/953 |
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