Quantum estimates in two variable forms for Simpson-type inequalities considering generalized Ψ-convex functions with applications
This article proposes a new approach based on quantum calculus framework employing novel classes of higher order strongly generalized Ψ\Psi -convex and quasi-convex functions. Certain pivotal inequalities of Simpson-type to estimate innovative variants under the qˇ1,qˇ2{\check{q}}_{1},{\check{q}}_{2...
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De Gruyter
2021
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oai:doaj.org-article:ec385669d95d4856a47658658557691b2021-12-05T14:11:01ZQuantum estimates in two variable forms for Simpson-type inequalities considering generalized Ψ-convex functions with applications2391-547110.1515/phys-2021-0031https://doaj.org/article/ec385669d95d4856a47658658557691b2021-06-01T00:00:00Zhttps://doi.org/10.1515/phys-2021-0031https://doaj.org/toc/2391-5471This article proposes a new approach based on quantum calculus framework employing novel classes of higher order strongly generalized Ψ\Psi -convex and quasi-convex functions. Certain pivotal inequalities of Simpson-type to estimate innovative variants under the qˇ1,qˇ2{\check{q}}_{1},{\check{q}}_{2}-integral and derivative scheme that provides a series of variants correlate with the special Raina’s functions. Meanwhile, a qˇ1,qˇ2{\check{q}}_{1},{\check{q}}_{2}-integral identity is presented, and new theorems with novel strategies are provided. As an application viewpoint, we tend to illustrate two-variable qˇ1qˇ2{\check{q}}_{1}{\check{q}}_{2}-integral identities and variants of Simpson-type in the sense of hypergeometric and Mittag–Leffler functions and prove the feasibility and relevance of the proposed approach. This approach is supposed to be reliable and versatile, opening up new avenues for the application of classical and quantum physics to real-world anomalies.Chu Yu-MingRauf AsiaRashid SaimaBatool SafeeraHamed Y. S.De Gruyterarticlequantum calculusgeneralized ψ-convex functionssimpson’s inequalityraina’s functionmittag–leffler functionhypergeometric functionPhysicsQC1-999ENOpen Physics, Vol 19, Iss 1, Pp 305-326 (2021) |
| institution |
DOAJ |
| collection |
DOAJ |
| language |
EN |
| topic |
quantum calculus generalized ψ-convex functions simpson’s inequality raina’s function mittag–leffler function hypergeometric function Physics QC1-999 |
| spellingShingle |
quantum calculus generalized ψ-convex functions simpson’s inequality raina’s function mittag–leffler function hypergeometric function Physics QC1-999 Chu Yu-Ming Rauf Asia Rashid Saima Batool Safeera Hamed Y. S. Quantum estimates in two variable forms for Simpson-type inequalities considering generalized Ψ-convex functions with applications |
| description |
This article proposes a new approach based on quantum calculus framework employing novel classes of higher order strongly generalized Ψ\Psi -convex and quasi-convex functions. Certain pivotal inequalities of Simpson-type to estimate innovative variants under the qˇ1,qˇ2{\check{q}}_{1},{\check{q}}_{2}-integral and derivative scheme that provides a series of variants correlate with the special Raina’s functions. Meanwhile, a qˇ1,qˇ2{\check{q}}_{1},{\check{q}}_{2}-integral identity is presented, and new theorems with novel strategies are provided. As an application viewpoint, we tend to illustrate two-variable qˇ1qˇ2{\check{q}}_{1}{\check{q}}_{2}-integral identities and variants of Simpson-type in the sense of hypergeometric and Mittag–Leffler functions and prove the feasibility and relevance of the proposed approach. This approach is supposed to be reliable and versatile, opening up new avenues for the application of classical and quantum physics to real-world anomalies. |
| format |
article |
| author |
Chu Yu-Ming Rauf Asia Rashid Saima Batool Safeera Hamed Y. S. |
| author_facet |
Chu Yu-Ming Rauf Asia Rashid Saima Batool Safeera Hamed Y. S. |
| author_sort |
Chu Yu-Ming |
| title |
Quantum estimates in two variable forms for Simpson-type inequalities considering generalized Ψ-convex functions with applications |
| title_short |
Quantum estimates in two variable forms for Simpson-type inequalities considering generalized Ψ-convex functions with applications |
| title_full |
Quantum estimates in two variable forms for Simpson-type inequalities considering generalized Ψ-convex functions with applications |
| title_fullStr |
Quantum estimates in two variable forms for Simpson-type inequalities considering generalized Ψ-convex functions with applications |
| title_full_unstemmed |
Quantum estimates in two variable forms for Simpson-type inequalities considering generalized Ψ-convex functions with applications |
| title_sort |
quantum estimates in two variable forms for simpson-type inequalities considering generalized ψ-convex functions with applications |
| publisher |
De Gruyter |
| publishDate |
2021 |
| url |
https://doaj.org/article/ec385669d95d4856a47658658557691b |
| work_keys_str_mv |
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