Results 31 to 40 of about 161,269 (289)

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

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
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NEW DOCTORAL DEGREE Montgomery identity, quadrature formulae and derived inequalities

Mathematical Communications, 2009
The aim of this PhD dissertation is to give generalizations of classical quadrature formulae with two, three and four nodes using some generalizations of the weighted Montgomery identity. Thereby families of weighted and non-weighted quadrature formulae are considered, some error estimates are derived, and sharp and the best possible inequalities as ...
Mihaela Ribičić Penava
openalex   +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

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

Jensen-Type Inequalities, Montgomery Identity and Higher-Order Convexity

Mediterranean Journal of Mathematics, 2022
Motivated by some recent results known from the literature, in this paper we establish a class of Jensen-type inequalities referring to functions of an even degree of convexity. The main idea of proving our results is a transformation of the classical Jensen functional via the Montgomery identity which is suitable to study in companion with the higher ...
Bošnjak, Marija, Krnić, Mario, Pečarić, Josip   +2 more
openaire   +3 more sources

On Ostrowski Type Inequalities via the Extended Version of Montgomery’s Identity

Mathematics, 2022
In this paper, we obtain new Ostrowski type inequalities by using the extended version of Montgomery identity and Green’s functions. We also give estimations of the difference between two integral means.
Asif R. Khan, Hira Nabi, Josip E. Pečarić   +2 more
doaj   +1 more source

Masculinity and National Identity on the Early American Stage [PDF]

, 2012
This essay explores how the early American stage functioned as an incubator for ideas about national identity, artistic expression, and masculinity. Reading four plays from the early years of the Republic – Royall Tyler’s The Contrast, William Dunlap’s ...
Sarah E. Chinn
core   +1 more source

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

Totalization of the Montgomery identity

Novi Sad Journal of Mathematics, 2015
Summary: The aim of this note is to define the total value of the Riemann integral that can be used to generalize the well-known Montgomery identity.
Sarić, Branko, Jakupović, Esad
openaire   +1 more source