Zobrazeno 1 - 10
of 123
pro vyhledávání: '"Muhammad Aamir Ali"'
Publikováno v:
Fractal and Fractional, Vol 8, Iss 9, p 547 (2024)
This paper derives the sharp bounds for Hermite–Hadamard inequalities in the context of Riemann–Liouville fractional integrals. A generalization of Jensen’s inequality called the Jensen–Mercer inequality is used for general points to find the
Externí odkaz:
https://doaj.org/article/c3740942f58b4074b357e58424bab0ea
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-17 (2023)
Abstract The main goal of the current study is to establish some new parameterized Newton-type inequalities for differentiable convex functions in the setting of fractional calculus. For this, first we prove a parameterized integral identity involvin
Externí odkaz:
https://doaj.org/article/d6879bbbcde940ad848f306512dd9a81
Publikováno v:
Mathematics, Vol 12, Iss 11, p 1721 (2024)
Integral inequalities are very useful in finding the error bounds for numerical integration formulas. In this paper, we prove some multiplicative integral inequalities for first-time differentiable s-convex functions. These new inequalities help in f
Externí odkaz:
https://doaj.org/article/7f04745b0b9a4eeea6b190ed69abf4bb
Autor:
Saowaluck Chasreechai, Muhammad Aamir Ali, Surapol Naowarat, Thanin Sitthiwirattham, Kamsing Nonlaopon
Publikováno v:
AIMS Mathematics, Vol 8, Iss 2, Pp 3885-3896 (2023)
In this paper, we establish an integral equality involving a multiplicative differentiable function for the multiplicative integral. Then, we use the newly established equality to prove some new Simpson's and Newton's inequalities for multiplicative
Externí odkaz:
https://doaj.org/article/643c456fd55148ab8a1710b42577435a
Autor:
Fongchan Wannalookkhee, Kamsing Nonlaopon, Mehmet Zeki Sarikaya, Hüseyin Budak, Muhammad Aamir Ali
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-25 (2023)
Abstract In this paper, we establish several new inequalities for q-differentiable coordinated convex functions that are related to the right side of Hermite–Hadamard inequalities for coordinated convex functions. We also show that the inequalities
Externí odkaz:
https://doaj.org/article/95b5e97d9bbb4281afdd295624fb6ec2
Autor:
Hüseyin Budak, Fatma Ertuğral, Muhammad Aamir Ali, Candan Can Bilişik, Mehmet Zeki Sarikaya, Kamsing Nonlaopon
Publikováno v:
AIMS Mathematics, Vol 8, Iss 1, Pp 1833-1847 (2023)
In this paper, we establish an integral identity involving differentiable functions and generalized fractional integrals. Then, using the newly established identity, we prove some new general versions of Bullen and trapezoidal type inequalities for d
Externí odkaz:
https://doaj.org/article/4baf9054ffe3466f994f0863ebd30a23
Publikováno v:
Boundary Value Problems, Vol 2022, Iss 1, Pp 1-21 (2022)
Abstract In this paper, we conduct a research on a new version of the ( p , q ) $( p,q ) $ -Hermite–Hadamard inequality for convex functions in the framework of postquantum calculus. Moreover, we derive several estimates for ( p , q ) $(p,q)$ -midp
Externí odkaz:
https://doaj.org/article/31103d5ac2464bd3809816f6587bda16
Publikováno v:
Axioms, Vol 13, Iss 2, p 114 (2024)
In this work, we initially derive an integral identity that incorporates a twice-differentiable function. After establishing the recently created identity, we proceed to demonstrate some new Hermite–Hadamard–Mercer-type inequalities for twice-dif
Externí odkaz:
https://doaj.org/article/a38bb261105d432886119490328822af
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
Publikováno v:
AIMS Mathematics, Vol 7, Iss 1, Pp 1429-1444 (2022)
In this paper we establish new Ostrowski type inequalities related to the notion s-$ \varphi $-convex functions (see [37]), were $ f\in C^n([a, b]) $ with $ f^{(n)}\in L([a, b]) $ and we give some applications to some special means, the midpoint form
Externí odkaz:
https://doaj.org/article/01feb99abfea4904a27588e18e86e66b