On Chebyshev Functional and Ostrowski-Grus Type Inequalities for Two Coordinates
International Journal of Analysis and Applications, 2016 In this paper, we construct Chebyshev functional and Gruss inequality on two coordinates. Also we establish Ostrowski-Gruss type inequality on two coordinates. Related mean value theorems of Lagrange and Cauchy type are also given.
Atiq Ur Rehman, Ghulam Farid
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Fractional Integral Inequalities via Hadamard’s Fractional Integral
Abstract and Applied Analysis, 2014 We establish new fractional integral inequalities, via Hadamard’s fractional integral. Several new integral inequalities are obtained, including a Grüss type Hadamard fractional integral inequality, by using Young and weighted AM-GM inequalities.
Weerawat Sudsutad +2 more
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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
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Generalizations of Steffensen’s inequality via the extension of Montgomery identity
Open Mathematics, 2018 In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s
Aljinović Andrea Aglić +2 more
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New estimates considering the generalized proportional Hadamard fractional integral operators
Advances in Difference Equations, 2020 In the article, we describe the Grüss type inequality, provide some related inequalities by use of suitable fractional integral operators, address several variants by utilizing the generalized proportional Hadamard fractional (GPHF) integral operator. It
Shuang-Shuang Zhou +4 more
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On inequalities of Jensen-Ostrowski type [PDF]
, 2015 We provide new inequalities of Jensen-Ostrowski type, by considering bounds for the magnitude of (Formula Presented), with various assumptions on the absolutely continuous function f:[a,b]→C and a μ-measurable function g, and a complex number λ ...
Cerone, P +2 more
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On Some Grüss Type Inequality in 2-Inner Product Spaces and Applications [PDF]
, 2000 In this paper, we shall give a generalization of the Grüss type inequality and obtain some applications of the Grüss type inequality in terms of 2-inner product ...
Cho, Yeol Je +3 more
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Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.This study proves numerous novel Ostrowski‐type inequalities for nabla‐α differentiable functions by employing the α‐conformable fractional calculus on time scales. Generalized forms of Grüss and trapezoid‐type inequalities are also obtained for single‐variate functions with bounded second‐order nabla‐α derivatives.
Khuram Ali Khan +5 more
wiley +1 more source
RETRACTED ARTICLE: Generalization of the Levinson inequality with applications to information theory
Journal of Inequalities and Applications, 2019 In the presented paper, Levinson’s inequality for 3-convex function is generalized by using two Green’s functions. Čebyšev, Grüss, and Ostrowski-type new bounds are found for the functionals involving data points of two types.
Muhammad Adeel +3 more
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Another Grüss Type Inequality for Sequences of Vectors in Normed Linear Spaces and Applications [PDF]
, 2002 A discrete inequality of Grüss type in normed linear sapces and applications for the Fourier transform, Mellin transform of sequences, for polynomials with coefficients in normed spaces and for vector valued Lipschitzian mappings, are ...
Dragomir, Sever S
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