Results 31 to 40 of about 9,027 (156)

Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities

AIMS Mathematics, 2020
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Mehmet Kunt, Artion Kashuri, Tingsong Du   +2 more
exaly   +3 more sources

A study of new quantum Montgomery identities and general Ostrowski like inequalities

Ain Shams Engineering Journal
The main objective of this paper is to analyze the Montgomery identities and Ostrowski like inequalities, within the framework of quantum calculus. The study utilizes qϖ3 and qϖ4 differentiable functions to establish two new Montgomery identities, which ...
Muhammad Uzair Awan, Muhammad Zakria Javed, Huseyin Budak, Y.S. Hamed, Jong-Suk Ro   +4 more
doaj   +2 more sources

Montgomery Identity and Ostrowski-Type Inequalities for Generalized Quantum Calculus through Convexity and Their Applications [PDF]

Symmetry, 2022
Humaira Kalsoom, MIGUEL Vivas-Cortez, Muhammad Zainul Abidin   +2 more
exaly   +2 more sources

Extension of Montgomery identity via Taylor polynomial on time scales

Turkish Journal of Mathematics, 2020
Khuram Ali Khan, Khalid Mahmood Awan, Ammara Nosheen   +2 more
exaly   +2 more sources

Generalized Ostrowski-Gruss Like Inequality on Time Scales [PDF]

Sahand Communications in Mathematical Analysis, 2023
In this paper, we present a generalization of the Montgomery Identity to various time scale versions, including the discrete case, continuous case, and the case of quantum calculus.
Faraz Mehmood, Asif Khan, Muhammad Shaikh   +2 more
doaj   +1 more source

New Montgomery-Mercer identity and associated integral inequalities with applications

Filomat
In this study, we focus on the Jensen-Mercer inequality and the Montgomery-Mercer identity to develop new error bounds for Ostrowski quadrature schemes. To wrap up this task, initially, we introduce a new equality connected to Montgomery?s identity invoking the Mercer concept.
Usama Asif, Muhammad Javed, Muhammad Uzair Awan, K. Brahim   +3 more
openalex   +3 more sources

Weighted Cebysev Type Inequalities for Double Integrals and Application [PDF]

Sahand Communications in Mathematical Analysis, 2021
The purpose of this article is to generalize Cebysev type inequalities for double integrals involving a weight function.By using an integral transform that is a weighted Montgomery identity, we obtained a generalized form of weighted Cebysev type ...
Asif Khan, Hira Nasir, Syed Shirazi
doaj   +1 more source

Dynamic inequalities of Grüss, Ostrowski and Trapezoid type via diamond-$ \alpha $ integrals and Montgomery identity

AIMS Mathematics
Marwa M Tharwat, Ammara Nosheen, Khuram Ali Khan   +2 more
exaly   +2 more sources

Weighted Popoviciu type inequalities via generalized Montgomery identities

Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti, 2015
We obtained useful identities via generalized Montgomery identities by which the inequality of Popoviciu for convex functions is generalized for higher order convex functions. We investigate bounds for terms related to the generalization of the Popoviciu inequality using inequalities for the Čebyšev functional.
Saad Ihsan Butt, ‎Josip Pečarić
openalex   +2 more sources

On Rabier's result and nonbounded Montgomery's identity [PDF]

Mathematical Inequalities & Applications, 2019
Summary: In this paper, we use generalized Montgomery's identity, given in [the third author, Bul. Ştiinţ. Teh. Inst. Politeh. Timişoara, Ser. Mat.-Fiz. 25(39), No. 1, 5--9 (1980; Zbl 0478.26009)], to give improvement of result from [\textit{P. J. Rabier}, Proc. Am. Math. Soc. 140, No.
Fahad A., Jakšetić J., Pečarić J.
openaire   +3 more sources