Hölder’s inequality for shifted quantum integral operator
We show by two counterexamples that Hölder’s inequality for shifted quantum integral operator does not hold in general and we prove the case in which it is valid.
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| Format: | Article |
| Language: | English |
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Elsevier
2025-06-01
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| Series: | Examples and Counterexamples |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666657X25000060 |
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| _version_ | 1832087307378753536 |
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| author | Andrea Aglić Aljinović Lana Horvat Dmitrović Ana Žgaljić Keko |
| author_facet | Andrea Aglić Aljinović Lana Horvat Dmitrović Ana Žgaljić Keko |
| author_sort | Andrea Aglić Aljinović |
| collection | DOAJ |
| description | We show by two counterexamples that Hölder’s inequality for shifted quantum integral operator does not hold in general and we prove the case in which it is valid. |
| format | Article |
| id | doaj-art-13a6ac1673374cffaa395dd5115e9d72 |
| institution | Kabale University |
| issn | 2666-657X |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Examples and Counterexamples |
| spelling | doaj-art-13a6ac1673374cffaa395dd5115e9d722025-02-06T05:12:53ZengElsevierExamples and Counterexamples2666-657X2025-06-017100179Hölder’s inequality for shifted quantum integral operatorAndrea Aglić Aljinović0Lana Horvat Dmitrović1Ana Žgaljić Keko2Corresponding author.; University of Zagreb, Faculty of Electrical Engineering and Computing, Unska 3, 10 000, Zagreb CroatiaUniversity of Zagreb, Faculty of Electrical Engineering and Computing, Unska 3, 10 000, Zagreb CroatiaUniversity of Zagreb, Faculty of Electrical Engineering and Computing, Unska 3, 10 000, Zagreb CroatiaWe show by two counterexamples that Hölder’s inequality for shifted quantum integral operator does not hold in general and we prove the case in which it is valid.http://www.sciencedirect.com/science/article/pii/S2666657X25000060q-derivativeq-integralHölder’s inequality |
| spellingShingle | Andrea Aglić Aljinović Lana Horvat Dmitrović Ana Žgaljić Keko Hölder’s inequality for shifted quantum integral operator Examples and Counterexamples q-derivative q-integral Hölder’s inequality |
| title | Hölder’s inequality for shifted quantum integral operator |
| title_full | Hölder’s inequality for shifted quantum integral operator |
| title_fullStr | Hölder’s inequality for shifted quantum integral operator |
| title_full_unstemmed | Hölder’s inequality for shifted quantum integral operator |
| title_short | Hölder’s inequality for shifted quantum integral operator |
| title_sort | holder s inequality for shifted quantum integral operator |
| topic | q-derivative q-integral Hölder’s inequality |
| url | http://www.sciencedirect.com/science/article/pii/S2666657X25000060 |
| work_keys_str_mv | AT andreaaglicaljinovic holdersinequalityforshiftedquantumintegraloperator AT lanahorvatdmitrovic holdersinequalityforshiftedquantumintegraloperator AT anazgaljickeko holdersinequalityforshiftedquantumintegraloperator |