Zobrazeno 1 - 10
of 83
pro vyhledávání: '"post quantum calculus"'
Publikováno v:
Foundations, Vol 3, Iss 2, Pp 340-379 (2023)
A review of results on Hermite–Hadamard (H-H) type inequalities in quantum calculus, associated with a variety of classes of convexities, is presented. In the various classes of convexities this includes classical convex functions, quasi-convex fun
Externí odkaz:
https://doaj.org/article/42c4536eb02e45158f8fc93949c9e714
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 15, Iss 1, Pp 20-30 (2023)
This paper aims to modify the $(p,q)$-Lupaş Bernstein operators using King's technique and to establish convergence results of these operators by using of modulus of continuity and Lipschitz class functions. Some approximation results for this new s
Externí odkaz:
https://doaj.org/article/c92e49a01d6f43a886f30c251c1da3dc
Akademický článek
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Autor:
You Xue-Xiao, Ali Muhammad Aamir, Kalsoom Humaira, Soontharanon Jarunee, Sitthiwirattham Thanin
Publikováno v:
Open Mathematics, Vol 20, Iss 1, Pp 707-723 (2022)
In this study, we establish some new Hermite-Hadamard type inequalities for s-convex functions in the second sense using the post-quantum calculus. Moreover, we prove a new (p,q)\left(p,q)-integral identity to prove some new Ostrowski type inequaliti
Externí odkaz:
https://doaj.org/article/c3e59d7d373b45c7bccbf3cedfce33f0
Autor:
Miguel Vivas-Cortez, Muhammad Zakria Javed, Muhammad Uzair Awan, Artion Kashuri, Muhammad Aslam Noor
Publikováno v:
AIMS Mathematics, Vol 7, Iss 6, Pp 11464-11486 (2022)
In this paper, we introduce the class of generalized strongly convex functions using Raina's function. We derive two new general auxiliary results involving first and second order (p,q)-differentiable functions and Raina's function. Essentially using
Externí odkaz:
https://doaj.org/article/37fc1acec0aa446da5c48feb1895f736
Publikováno v:
AIMS Mathematics, Vol 7, Iss 7, Pp 12437-12457 (2022)
A new generalized (p,q)-integral identity is derived. Using this new identity as an auxiliary result, we derive new parametric generalizations of certain integral inequalities using the class of s-preinvex functions. We discuss several new and known
Externí odkaz:
https://doaj.org/article/accc4b291e8440e5a2b6c60f1cf688f7
Publikováno v:
AIMS Mathematics, Vol 7, Iss 5, Pp 8035-8063 (2022)
In this study, we give the notions about some new post-quantum partial derivatives and then use these derivatives to prove an integral equality via post-quantum double integrals. We establish some new post-quantum Ostrowski type inequalities for diff
Externí odkaz:
https://doaj.org/article/b3b15a655e9d4b2aab320cb6df5d2def
Autor:
Xue-Xiao You, Muhammad Aamir Ali, Ghulam Murtaza, Saowaluck Chasreechai, Sotiris K. Ntouyas, Thanin Sitthiwirattham
Publikováno v:
AIMS Mathematics, Vol 7, Iss 2, Pp 3097-3132 (2022)
In this paper, we prove some new Simpson's type inequalities for partial (p,q)-differentiable convex functions of two variables in the context of (p,q)-calculus. We also show that the findings in this paper are generalizations of comparable findings
Externí odkaz:
https://doaj.org/article/0e7d0d34861c4800b80a46733dfea5f9
Autor:
Muhammad Uzair Awan, Sadia Talib, Artion Kashuri, Ibrahim Slimane, Kamsing Nonlaopon, Y. S. Hamed
Publikováno v:
AIMS Mathematics, Vol 7, Iss 4, Pp 5728-5751 (2022)
The main objective of this paper is to derive some new post quantum analogues of Dragomir–Agarwal and Iyengar type integral inequalities essentially by using the strongly φ-preinvexity and strongly quasi φ-preinvexity properties of the mappings,
Externí odkaz:
https://doaj.org/article/ba85bedeb98040b79e1053a90f8f1bf2
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 13, Iss 3, Pp 734-749 (2021)
This paper deals with Lupaş post quantum Bernstein operators over arbitrary closed and bounded interval constructed with the help of Lupaş post quantum Bernstein bases. Due to the property that these bases are scale invariant and translation invari
Externí odkaz:
https://doaj.org/article/66f4f58145a04f39b84b424d6e3eeb5b