Weaker Conditions for the <i>q</i>-Steffensen Inequality and Some Related Generalizations

Weaker Conditions for the <i>q</i>-Steffensen Inequality and Some Related Generalizations

The aim of this paper is to study the <i>q</i>-Steffensen inequality and to prove some weaker conditions for this inequality in quantum calculus. Further, we prove <i>q</i>-analogues of some frequently used generalizations of Steffensen’s inequality and obtain some refinement...

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Bibliographic Details
Main Author: Ksenija Smoljak Kalamir
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Mathematics
Subjects:
Steffensen’s inequality
<i>q</i>-integral
weaker conditions
generalizations
refinements
Online Access:https://www.mdpi.com/2227-7390/8/9/1462
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spelling doaj-7d95f18ef0ea40ff94e008c84217ddd42020-11-25T03:45:18ZengMDPI AGMathematics2227-73902020-09-0181462146210.3390/math8091462Weaker Conditions for the <i>q</i>-Steffensen Inequality and Some Related GeneralizationsKsenija Smoljak Kalamir0Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovića 28a, 10000 Zagreb, CroatiaThe aim of this paper is to study the <i>q</i>-Steffensen inequality and to prove some weaker conditions for this inequality in quantum calculus. Further, we prove <i>q</i>-analogues of some frequently used generalizations of Steffensen’s inequality and obtain some refinements of <i>q</i>-Steffensen’s inequality and its generalizations.https://www.mdpi.com/2227-7390/8/9/1462Steffensen’s inequality<i>q</i>-integralweaker conditionsgeneralizationsrefinements
collection DOAJ
language English
format Article
sources DOAJ
author Ksenija Smoljak Kalamir
spellingShingle Ksenija Smoljak Kalamir
Weaker Conditions for the <i>q</i>-Steffensen Inequality and Some Related Generalizations
Mathematics
Steffensen’s inequality
<i>q</i>-integral
weaker conditions
generalizations
refinements
author_facet Ksenija Smoljak Kalamir
author_sort Ksenija Smoljak Kalamir
title Weaker Conditions for the <i>q</i>-Steffensen Inequality and Some Related Generalizations
title_short Weaker Conditions for the <i>q</i>-Steffensen Inequality and Some Related Generalizations
title_full Weaker Conditions for the <i>q</i>-Steffensen Inequality and Some Related Generalizations
title_fullStr Weaker Conditions for the <i>q</i>-Steffensen Inequality and Some Related Generalizations
title_full_unstemmed Weaker Conditions for the <i>q</i>-Steffensen Inequality and Some Related Generalizations
title_sort weaker conditions for the <i>q</i>-steffensen inequality and some related generalizations
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-09-01
description The aim of this paper is to study the <i>q</i>-Steffensen inequality and to prove some weaker conditions for this inequality in quantum calculus. Further, we prove <i>q</i>-analogues of some frequently used generalizations of Steffensen’s inequality and obtain some refinements of <i>q</i>-Steffensen’s inequality and its generalizations.
topic Steffensen’s inequality
<i>q</i>-integral
weaker conditions
generalizations
refinements
url https://www.mdpi.com/2227-7390/8/9/1462
work_keys_str_mv AT ksenijasmoljakkalamir weakerconditionsfortheiqisteffenseninequalityandsomerelatedgeneralizations
_version_ 1724510303812583424

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