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A Sharp Simpson’s Second Type Inequality via Riemann–Liouville Fractional Integrals
Journal of MathematicsThis 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.
Mohsen Rostamian Delavar
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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
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Harmonic Multivariate Ostrowski and Grüss Type Inequalities for Several Functions
Demonstratio Mathematica, 2015 Here we derive very general multivariate Ostrowski and Grüss type inequalities for several functions by involving harmonic polynomials. Estimates are with respect to all basic norms.
Anastassiou George A.
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Generalized Steffensen’s inequality by Montgomery identity
Journal of Inequalities and Applications, 2019 By using generalized Montgomery identity and Green functions we proved several identities which assist in developing connections with Steffensen’s inequality.
Saad Ihsan Butt +3 more
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On Grüss inequalities within generalized K-fractional integrals
Advances in Difference Equations, 2020 In this paper, we introduce the generalized K $\mathcal{K}$ -fractional integral in the frame of a new parameter K > 0 $\mathcal{K}>0$ . This paper offers some new important inequalities of Grüss type using the generalized K $\mathcal{K}$ -fractional ...
Saima Rashid +5 more
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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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Integral inequalities via Raina’s fractional integrals operator with respect to a monotone function
Advances in Difference Equations, 2020 We establish certain new fractional integral inequalities involving the Raina function for monotonicity of functions that are used with some traditional and forthright inequalities.
Shu-Bo Chen +5 more
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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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Some integral inequalities for operator monotonic functions on Hilbert spaces
Special Matrices, 2020 Let f be an operator monotonic function on I and A, B∈I (H), the class of all selfadjoint operators with spectra in I. Assume that p : [0.1], →ℝ is non-decreasing on [0, 1].
Dragomir Silvestru Sever
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Some estimations for the Taylor's remainder
Journal of Numerical Analysis and Approximation Theory, 2013 In this paper, we establish several integral inequalities for the Taylor's remainder by Grüss and Cheyshev inequalities.
Hui Sun, Bo-Yong Long, Yu-Ming Chu
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