Post-Quantum Integral Inequalities for Three-Times (<i>p</i>,<i>q</i>)-Differentiable Functions
A new <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>p</mi><mo>,</mo><mi>q</mi><mo>)</mo></mrow></semantics></math&...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-01-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/15/1/246 |
| _version_ | 1797436732899065856 |
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| author | Loredana Ciurdariu Eugenia Grecu |
| author_facet | Loredana Ciurdariu Eugenia Grecu |
| author_sort | Loredana Ciurdariu |
| collection | DOAJ |
| description | A new <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>p</mi><mo>,</mo><mi>q</mi><mo>)</mo></mrow></semantics></math></inline-formula>-integral identity involving left and right post quantum derivatives, by using three times <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>p</mi><mo>,</mo><mi>q</mi><mo>)</mo></mrow></semantics></math></inline-formula>-differentiable functions is established and then this identity is used to derive several new post-quantum Ostrowski type integral inequalities for three times <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>p</mi><mo>,</mo><mi>q</mi><mo>)</mo></mrow></semantics></math></inline-formula>-differentiable functions. These results are generalizations of corresponding results in the area of integral inequalities. |
| first_indexed | 2024-03-09T11:06:48Z |
| format | Article |
| id | doaj.art-22cceff66e734727988553de426d1574 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T11:06:48Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-22cceff66e734727988553de426d15742023-12-01T00:54:04ZengMDPI AGSymmetry2073-89942023-01-0115124610.3390/sym15010246Post-Quantum Integral Inequalities for Three-Times (<i>p</i>,<i>q</i>)-Differentiable FunctionsLoredana Ciurdariu0Eugenia Grecu1Department of Mathematics, Politehnica University of Timisoara, 300006 Timisoara, RomaniaDepartment of Management, Politehnica University of Timisoara, 300006 Timisoara, RomaniaA new <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>p</mi><mo>,</mo><mi>q</mi><mo>)</mo></mrow></semantics></math></inline-formula>-integral identity involving left and right post quantum derivatives, by using three times <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>p</mi><mo>,</mo><mi>q</mi><mo>)</mo></mrow></semantics></math></inline-formula>-differentiable functions is established and then this identity is used to derive several new post-quantum Ostrowski type integral inequalities for three times <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>p</mi><mo>,</mo><mi>q</mi><mo>)</mo></mrow></semantics></math></inline-formula>-differentiable functions. These results are generalizations of corresponding results in the area of integral inequalities.https://www.mdpi.com/2073-8994/15/1/246post quantum calculusconvex functionsOstrowski’s type inequalities |
| spellingShingle | Loredana Ciurdariu Eugenia Grecu Post-Quantum Integral Inequalities for Three-Times (<i>p</i>,<i>q</i>)-Differentiable Functions Symmetry post quantum calculus convex functions Ostrowski’s type inequalities |
| title | Post-Quantum Integral Inequalities for Three-Times (<i>p</i>,<i>q</i>)-Differentiable Functions |
| title_full | Post-Quantum Integral Inequalities for Three-Times (<i>p</i>,<i>q</i>)-Differentiable Functions |
| title_fullStr | Post-Quantum Integral Inequalities for Three-Times (<i>p</i>,<i>q</i>)-Differentiable Functions |
| title_full_unstemmed | Post-Quantum Integral Inequalities for Three-Times (<i>p</i>,<i>q</i>)-Differentiable Functions |
| title_short | Post-Quantum Integral Inequalities for Three-Times (<i>p</i>,<i>q</i>)-Differentiable Functions |
| title_sort | post quantum integral inequalities for three times i p i i q i differentiable functions |
| topic | post quantum calculus convex functions Ostrowski’s type inequalities |
| url | https://www.mdpi.com/2073-8994/15/1/246 |
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