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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Main Authors: Nuttapong Arunrat, Keaitsuda Maneeruk Nakprasit, Kamsing Nonlaopon, Jessada Tariboon, Sotiris K. Ntouyas
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Symmetry
Subjects:
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.
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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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