Results 71 to 80 of about 643,553 (189)

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

open access: yesAbstract 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

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

open access: yesJournal 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   +3 more
doaj   +1 more source

Properties and Applications of Symmetric Quantum Calculus

open access: yesFractal 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   +4 more
doaj   +1 more source

Generalizations of Ostrowski type inequalities via Hermite polynomials

open access: yesJournal of Inequalities and Applications, 2020
We present new generalizations of the weighted Montgomery identity constructed by using the Hermite interpolating polynomial. The obtained identities are used to establish new generalizations of weighted Ostrowski type inequalities for differentiable ...
Ljiljanka Kvesić   +2 more
doaj   +1 more source

Some extensions of Grüss’ inequality [PDF]

open access: yes, 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   +2 more
core   +1 more source

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

open access: yes, 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]

open access: yes, 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

open access: yesInternational 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

On applications of Caputo k-fractional derivatives

open access: yesAdvances in Difference Equations, 2019
This research explores Caputo k-fractional integral inequalities for functions whose nth order derivatives are absolutely continuous and possess Grüss type variable bounds. Using Chebyshev inequality (Waheed et al. in IEEE Access 7:32137–32145, 2019) for
Ghulam Farid   +5 more
doaj   +1 more source

Discrete Grüss type inequality on fractional calculus [PDF]

open access: yes, 2015
We give a discrete Grüss type inequality on fractional ...
AF Güvenilir   +31 more
core   +1 more source

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