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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| Format: | Article |
| Language: | English |
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MDPI AG
2020-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/9/1462 |
| _version_ | 1797554988412567552 |
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| author | Ksenija Smoljak Kalamir |
| author_facet | Ksenija Smoljak Kalamir |
| author_sort | Ksenija Smoljak Kalamir |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-10T16:39:51Z |
| format | Article |
| id | doaj.art-7d95f18ef0ea40ff94e008c84217ddd4 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T16:39:51Z |
| publishDate | 2020-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-7d95f18ef0ea40ff94e008c84217ddd42023-11-20T12:06:07ZengMDPI AGMathematics2227-73902020-09-0189146210.3390/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 |
| 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 |
| title | 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_short | 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 |
| 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 |