Inequalities for Stieltjes Integrals with Convex Integrators and Applications [PDF]
, 2005 Inequalities for a Grüss type functional in terms of Stieltjes integrals with convex integrators are given.
Dragomir, Sever S
core
Combinatorial extensions of Popoviciu\u27s inequality via Abel-Gontscharoff polynomial with applications in information theory [PDF]
, 2020 We establish new refinements and improvements of Popoviciu’s inequality for n-convex functions using Abel-Gontscharoff interpolating polynomial along with the aid of new Green functions.
Josip Pečarić +3 more
core +2 more sources
A Sharp Simpson’s Second Type Inequality via Riemann–Liouville Fractional Integrals
Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper deals with a new sharp version of Simpson’s second inequality by using the concepts of absolute continuity, Grüss inequality, and Chebyshev functionals. To demonstrate the applicability of the main result, three examples are given. Also, as generalization of the main result, a Simpson’s second type inequality related to the class of Riemann ...
Mohsen Rostamian Delavar +1 more
wiley +1 more source
Approximating the Riemann-Stieltjes Integral via Some Moments of the Integrand [PDF]
, 2007 Error bounds in approximating the Riemann-Stieltjes integral in terms of some moments of the integrand are given. Applications for p-convex functions and in approximating the Finite Foureir Transform are pointed out as ...
Cerone, Pietro, Dragomir, Sever S
core
Nabla discrete fractional Grüss type inequality [PDF]
, 2014 Properties of the discrete fractional calculus in the sense of a backward difference are introduced and developed. Here, we prove a more general version of the Grüss type inequality for the nabla fractional case.
Guvenilir, A. Feza +3 more
core +2 more sources
Grüss Type k-Fractional Integral Operator Inequalities and Allied Results
International Journal of Analysis and Applications, 2023 This paper aims to derive fractional Grüss type integral inequalities for generalized k-fractional integral operators with Mittag-Leffler function in the kernel.
Ghulam Farid +5 more
doaj +1 more source
Exploring experiences of living with removable dentures—A scoping review of qualitative literature
Gerodontology, Volume 41, Issue 3, Page 314-327, September 2024.Objective Examine the literature on the experiences of living with removable dentures (complete or partial) to identify any gaps and provide a map for future research. Background Increasing proportions of society are living partially dentate with some form of restoration, including removable dentures.
T Broomhead +6 more
wiley +1 more source
Some well-known inequalities of Ostrowski like for Caputo derivatives
Applied Mathematics in Science and EngineeringThis paper aims to provide new versions of some known inequalities by applying Caputo fractional derivatives. Ostrowski, Hermite-Hadamard and Ostrowski-Grüss-type inequalities are given. Generalized conditions of existing inequalities are analysed to get
Yonghong Liu +4 more
doaj +1 more source
On some Chebyshev type inequalities for the complex integral [PDF]
, 2019 Assume that f and g are continuous on γ, γ ⊂ C is a piecewisesmooth path parametrized by z (t) , t ∈ [a, b] from z (a) = u to z (b) = w withw 6= u, and the complex Chebyshev functional is defined bySean f y g funciones continuas sobre γ, siendo γ ⊂ C un ...
Dragomir, Sever S
core +3 more sources
Some Approximation Properties of the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn Operators
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this article, the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn ((p, q)‐SSBBH) operators are introduced. The Korovkin‐type theorem is obtained to show the approximation properties of these operators. Then, the rate of convergence of these operators with the help of the modulus of continuity and Lipschitz‐type maximal functions is calculated ...
Gülten Torun, Ljubisa Kocinac
wiley +1 more source