n–polynomial exponential type p–convex function with some related inequalities and their applications

n–polynomial exponential type p–convex function with some related inequalities and their applications

In this paper, the idea and its algebraic properties of n–polynomial exponential type p–convex function have been investigated. Authors prove new trapezium type inequality for this new class of functions. We also obtain some refinements of the trapezium type inequality for functions whose first deri...

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Main Authors: Saad Ihsan Butt, Artion Kashuri, Muhammad Tariq, Jamshed Nasir, Adnan Aslam, Wei Gao
Format: Article
Language:English
Published: Elsevier 2020-11-01
Series:Heliyon
Subjects:
Mathematics
Hermite-Hadamard inequality
Hölder's inequality
Power mean inequality
Convexity
Exponential type convexity
Online Access:http://www.sciencedirect.com/science/article/pii/S2405844020322635
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spelling doaj-43369455791e424c956b23f3c0f2cb332020-12-09T06:38:36ZengElsevierHeliyon2405-84402020-11-01611e05420n–polynomial exponential type p–convex function with some related inequalities and their applicationsSaad Ihsan Butt0Artion Kashuri1Muhammad Tariq2Jamshed Nasir3Adnan Aslam4Wei Gao5COMSATS University Islamabad, Lahore Campus, PakistanDepartment of Mathematics, Faculty of Technical Science, University “Ismail Qemali”, Vlora, AlbaniaCOMSATS University Islamabad, Lahore Campus, PakistanVirtual University of Pakistan, Lahore Campus, PakistanDepartment of Natural Sciences and Humanities, University of Engineering and Technology, Lahore (RCET), PakistanSchool of Information Science and Technology, Yunnan Normal University, Kunming, 650500, China; Corresponding author.In this paper, the idea and its algebraic properties of n–polynomial exponential type p–convex function have been investigated. Authors prove new trapezium type inequality for this new class of functions. We also obtain some refinements of the trapezium type inequality for functions whose first derivative in absolute value at certain power are n–polynomial exponential type p–convex. At the end, some new bounds for special means of different positive real numbers are provided as well. These new results yield us some generalizations of the prior results. Our idea and technique may stimulate further research in different areas of pure and applied sciences.http://www.sciencedirect.com/science/article/pii/S2405844020322635MathematicsHermite-Hadamard inequalityHölder's inequalityPower mean inequalityConvexityExponential type convexity
collection DOAJ
language English
format Article
sources DOAJ
author Saad Ihsan Butt
Artion Kashuri
Muhammad Tariq
Jamshed Nasir
Adnan Aslam
Wei Gao
spellingShingle Saad Ihsan Butt
Artion Kashuri
Muhammad Tariq
Jamshed Nasir
Adnan Aslam
Wei Gao
n–polynomial exponential type p–convex function with some related inequalities and their applications
Heliyon
Mathematics
Hermite-Hadamard inequality
Hölder's inequality
Power mean inequality
Convexity
Exponential type convexity
author_facet Saad Ihsan Butt
Artion Kashuri
Muhammad Tariq
Jamshed Nasir
Adnan Aslam
Wei Gao
author_sort Saad Ihsan Butt
title n–polynomial exponential type p–convex function with some related inequalities and their applications
title_short n–polynomial exponential type p–convex function with some related inequalities and their applications
title_full n–polynomial exponential type p–convex function with some related inequalities and their applications
title_fullStr n–polynomial exponential type p–convex function with some related inequalities and their applications
title_full_unstemmed n–polynomial exponential type p–convex function with some related inequalities and their applications
title_sort n–polynomial exponential type p–convex function with some related inequalities and their applications
publisher Elsevier
series Heliyon
issn 2405-8440
publishDate 2020-11-01
description In this paper, the idea and its algebraic properties of n–polynomial exponential type p–convex function have been investigated. Authors prove new trapezium type inequality for this new class of functions. We also obtain some refinements of the trapezium type inequality for functions whose first derivative in absolute value at certain power are n–polynomial exponential type p–convex. At the end, some new bounds for special means of different positive real numbers are provided as well. These new results yield us some generalizations of the prior results. Our idea and technique may stimulate further research in different areas of pure and applied sciences.
topic Mathematics
Hermite-Hadamard inequality
Hölder's inequality
Power mean inequality
Convexity
Exponential type convexity
url http://www.sciencedirect.com/science/article/pii/S2405844020322635
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AT muhammadtariq npolynomialexponentialtypepconvexfunctionwithsomerelatedinequalitiesandtheirapplications
AT jamshednasir npolynomialexponentialtypepconvexfunctionwithsomerelatedinequalitiesandtheirapplications
AT adnanaslam npolynomialexponentialtypepconvexfunctionwithsomerelatedinequalitiesandtheirapplications
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