On New Modifications Governed by Quantum Hahn’s Integral Operator Pertaining to Fractional Calculus
In the article, we present several generalizations for the generalized Čebyšev type inequality in the frame of quantum fractional Hahn’s integral operator by using the quantum shift operator σΨqς=qς+1−qσς∈l1,l2,σ=l1+ω/1−q,0<q<1,ω≥0. As applications, we provide some associated variants to illu...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/8262860 |
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| author | Saima Rashid Aasma Khalid Gauhar Rahman Kottakkaran Sooppy Nisar Yu-Ming Chu |
| author_facet | Saima Rashid Aasma Khalid Gauhar Rahman Kottakkaran Sooppy Nisar Yu-Ming Chu |
| author_sort | Saima Rashid |
| collection | DOAJ |
| description | In the article, we present several generalizations for the generalized Čebyšev type inequality in the frame of quantum fractional Hahn’s integral operator by using the quantum shift operator σΨqς=qς+1−qσς∈l1,l2,σ=l1+ω/1−q,0<q<1,ω≥0. As applications, we provide some associated variants to illustrate the efficiency of quantum Hahn’s integral operator and compare our obtained results and proposed technique with the previously known results and existing technique. Our ideas and approaches may lead to new directions in fractional quantum calculus theory. |
| format | Article |
| id | doaj-art-7366dd81e28540bb9872d9617fd28555 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-7366dd81e28540bb9872d9617fd285552025-08-20T03:33:49ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/82628608262860On New Modifications Governed by Quantum Hahn’s Integral Operator Pertaining to Fractional CalculusSaima Rashid0Aasma Khalid1Gauhar Rahman2Kottakkaran Sooppy Nisar3Yu-Ming Chu4Department of Mathematics, Government College University, Faisalabad 38000, PakistanDepartment of Mathematics, Government College Women University Faisalabad, Madina Town, Faisalabad 38000, PakistanDepartment of Mathematics, Shaheed Benazir Bhutto University, Sheringal, PakistanDepartment of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, Wadi Al Dawasir 11991, Saudi ArabiaDepartment of Mathematics, Huzhou University, Huzhou 313000, ChinaIn the article, we present several generalizations for the generalized Čebyšev type inequality in the frame of quantum fractional Hahn’s integral operator by using the quantum shift operator σΨqς=qς+1−qσς∈l1,l2,σ=l1+ω/1−q,0<q<1,ω≥0. As applications, we provide some associated variants to illustrate the efficiency of quantum Hahn’s integral operator and compare our obtained results and proposed technique with the previously known results and existing technique. Our ideas and approaches may lead to new directions in fractional quantum calculus theory.http://dx.doi.org/10.1155/2020/8262860 |
| spellingShingle | Saima Rashid Aasma Khalid Gauhar Rahman Kottakkaran Sooppy Nisar Yu-Ming Chu On New Modifications Governed by Quantum Hahn’s Integral Operator Pertaining to Fractional Calculus Journal of Function Spaces |
| title | On New Modifications Governed by Quantum Hahn’s Integral Operator Pertaining to Fractional Calculus |
| title_full | On New Modifications Governed by Quantum Hahn’s Integral Operator Pertaining to Fractional Calculus |
| title_fullStr | On New Modifications Governed by Quantum Hahn’s Integral Operator Pertaining to Fractional Calculus |
| title_full_unstemmed | On New Modifications Governed by Quantum Hahn’s Integral Operator Pertaining to Fractional Calculus |
| title_short | On New Modifications Governed by Quantum Hahn’s Integral Operator Pertaining to Fractional Calculus |
| title_sort | on new modifications governed by quantum hahn s integral operator pertaining to fractional calculus |
| url | http://dx.doi.org/10.1155/2020/8262860 |
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