Results 61 to 70 of about 495 (141)

Generalization of the Levinson inequality with applications to information theory

Journal of Inequalities and Applications, 2019
In the presented paper, Levinson’s inequality for the 3-convex function is generalized by using two Green functions. Čebyšev-, Grüss- and Ostrowski-type new bounds are found for the functionals involving data points of two types.
Muhammad Adeel, Khuram Ali Khan, Ðilda Pečarić, Josip Pečarić   +3 more
doaj   +1 more source

Some extensions of Grüss’ inequality [PDF]

, 2003
We give some extensions of Grüss’ inequalities of discrete and integral types, which refine or generalize recent results due to P. Cerone and S. S.
Izumino Saichi, Pečarić Josip E., Tepeš Božidar   +2 more
core   +1 more source

Properties and Applications of Symmetric Quantum Calculus

Fractal and Fractional
Symmetric derivatives and integrals are extensively studied to overcome the limitations of classical derivatives and integral operators. In the current investigation, we explore the quantum symmetric derivatives on finite intervals.
Miguel Vivas-Cortez, Muhammad Zakria Javed, Muhammad Uzair Awan, Silvestru Sever Dragomir, Ahmed M. Zidan   +4 more
doaj   +1 more source

On Weighted Montgomery Identity for k Points and Its Associates on Time Scales

Abstract and Applied Analysis, 2017
The purpose of this paper is to establish a weighted Montgomery identity for k points and then use this identity to prove a new weighted Ostrowski type inequality.
Eze R. Nwaeze, Ana M. Tameru
doaj   +1 more source

Refinements of some Hardy–Littlewood–Pólya type inequalities via Green’s functions and Fink’s identity and related results

Journal of Inequalities and Applications, 2020
In this paper, first we present some interesting identities associated with Green’s functions and Fink’s identity, and further we present some interesting inequalities for r-convex functions.
Sadia Khalid, Josip Pečarić
doaj   +1 more source

Generalization of cyclic refinements of Jensen’s inequality by Fink’s identity

Journal of Inequalities and Applications, 2018
We generalize cyclic refinements of Jensen’s inequality from a convex function to a higher-order convex function by means of Lagrange–Green’s function and Fink’s identity.
Nasir Mehmood, Saad Ihsan Butt, László Horváth, Josip Pečarić   +3 more
doaj   +1 more source

Orthogonal Projection of an Infinite Round Cone in Real Hilbert Space [PDF]

, 2015
We fully characterize orthogonal projections of infinite right circular (round) cones in real Hilbert spaces. Another interpretation is that, given two vectors in a real Hilbert space, we establish the optimal estimate on the angle between the orthogonal
Kosor, Mate
core   +2 more sources

Approximation of the Stieltjes integral and applications in numerical integration [PDF]

, 2006
summary:Some inequalities for the Stieltjes integral and applications in numerical integration are given. The Stieltjes integral is approximated by the product of the divided difference of the integrator and the Lebesgue integral of the integrand. Bounds
Cerone, Pietro, Dragomir, Sever S.
core   +1 more source

A Perturbed Version of General Weighted Ostrowski Type Inequality and Applications

International Journal of Analysis and Applications, 2018
The main purpose of this paper is to derive some new generalizations of weighted Ostrowski type inequalities. The new established inequalities are carried out for a twice differentiable mapping in different L p spaces.
Waseem Ghazi Alshanti
doaj   +2 more sources

Bounding the Čebyšev Functional for the Riemann-Stieltjes Integral via a Beesack Inequality and Applications [PDF]

, 2008
Lower and upper bounds of the Čebyšev functional for the Riemann- Stieltjes integral are given. Applications for the three point quadrature rules of functions that are n-time differentiable are also ...
Cerone, Pietro, Dragomir, Sever S
core