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
Some new fractional q-integral Grüss-type inequalities and other inequalities [PDF]
, 2012 In this paper, we employ a fractional q-integral on the specific time scale, T t 0 =
Chaowu Zhu, Qingbo Zhao, Wengui Yang
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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 +3 more
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Harmonic polynomials and generalizations of Ostrowski-Grüss type inequality and Taylor formula
, 2015 Some generalizations of Ostrowski-Gr\" uss type inequality and Taylor formula are given, by using harmonic sequences of polynomials. We use inequalities for the Cebysev functional in terms of the first derivative, for some new bounds for the remainders.
Khalid Mahmood Awan +2 more
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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
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Grüss type integral inequalities for generalized Riemann-Liouville k-fractional integrals
Journal of Inequalities and Applications, 2016 Integral inequalities are considered to be important as they have many applications described by a number of researchers. Moreover, the theory of fractional calculus is used in solving differential, integral, and integro-differential equations and also ...
Shahid Mubeen, Sana Iqbal
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On applications of Caputo k-fractional derivatives
Advances 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
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Some results on quantum Hahn integral inequalities
Journal of Inequalities and Applications, 2019 In this paper the quantum Hahn difference operator and the quantum Hahn integral operator are defined via the quantum shift operator Φqθ(t)=qt+(1−q)θ $_{\theta }\varPhi _{q}(t)=qt+(1-q)\theta $, t∈[a,b] $t\in [a,b]$, θ=ω/(1−q)+a $\theta = \omega /(1-q)+a$
Suphawat Asawasamrit +3 more
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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.
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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
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