Local fractional Newton’s inequalities involving generalized harmonic convex functions

Local fractional Newton’s inequalities involving generalized harmonic convex functions

Abstract A new auxiliary result based on a three step quadratic kernel utilizing the concepts of local fractional calculus is obtained. Using this new auxiliary result we have several new Newton type inequalities whose power q of local fractional derivative in modulus is a generalized harmonic conve...

Full description

Bibliographic Details
Main Authors: Sabah Iftikhar, Samet Erden, Poom Kumam, Muhammad Uzair Awan
Format: Article
Language:English
Published: SpringerOpen 2020-04-01
Series:Advances in Difference Equations
Subjects:
Simpson’s inequality
Generalized harmonic convex functions
Local fractional integrals
Online Access:http://link.springer.com/article/10.1186/s13662-020-02637-6
id doaj-5a1f1023ba0f4c63a0b7763bcb498cf7
record_format Article
spelling doaj-5a1f1023ba0f4c63a0b7763bcb498cf72020-11-25T02:10:35ZengSpringerOpenAdvances in Difference Equations1687-18472020-04-012020111410.1186/s13662-020-02637-6Local fractional Newton’s inequalities involving generalized harmonic convex functionsSabah Iftikhar0Samet Erden1Poom Kumam2Muhammad Uzair Awan3KMUTTFixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, SCL 802 Fixed Point Laboratory, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT)Department of Mathematics, Faculty of Science, Bartın UniversityKMUTTFixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, SCL 802 Fixed Point Laboratory, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT)Department of Mathematics, GC University FaisalabadAbstract A new auxiliary result based on a three step quadratic kernel utilizing the concepts of local fractional calculus is obtained. Using this new auxiliary result we have several new Newton type inequalities whose power q of local fractional derivative in modulus is a generalized harmonic convex function.http://link.springer.com/article/10.1186/s13662-020-02637-6Simpson’s inequalityGeneralized harmonic convex functionsLocal fractional integrals
collection DOAJ
language English
format Article
sources DOAJ
author Sabah Iftikhar
Samet Erden
Poom Kumam
Muhammad Uzair Awan
spellingShingle Sabah Iftikhar
Samet Erden
Poom Kumam
Muhammad Uzair Awan
Local fractional Newton’s inequalities involving generalized harmonic convex functions
Advances in Difference Equations
Simpson’s inequality
Generalized harmonic convex functions
Local fractional integrals
author_facet Sabah Iftikhar
Samet Erden
Poom Kumam
Muhammad Uzair Awan
author_sort Sabah Iftikhar
title Local fractional Newton’s inequalities involving generalized harmonic convex functions
title_short Local fractional Newton’s inequalities involving generalized harmonic convex functions
title_full Local fractional Newton’s inequalities involving generalized harmonic convex functions
title_fullStr Local fractional Newton’s inequalities involving generalized harmonic convex functions
title_full_unstemmed Local fractional Newton’s inequalities involving generalized harmonic convex functions
title_sort local fractional newton’s inequalities involving generalized harmonic convex functions
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2020-04-01
description Abstract A new auxiliary result based on a three step quadratic kernel utilizing the concepts of local fractional calculus is obtained. Using this new auxiliary result we have several new Newton type inequalities whose power q of local fractional derivative in modulus is a generalized harmonic convex function.
topic Simpson’s inequality
Generalized harmonic convex functions
Local fractional integrals
url http://link.springer.com/article/10.1186/s13662-020-02637-6
work_keys_str_mv AT sabahiftikhar localfractionalnewtonsinequalitiesinvolvinggeneralizedharmonicconvexfunctions
AT sameterden localfractionalnewtonsinequalitiesinvolvinggeneralizedharmonicconvexfunctions
AT poomkumam localfractionalnewtonsinequalitiesinvolvinggeneralizedharmonicconvexfunctions
AT muhammaduzairawan localfractionalnewtonsinequalitiesinvolvinggeneralizedharmonicconvexfunctions
_version_ 1724918779645788160

Similar Items