Results 51 to 60 of about 73,742 (169)
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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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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Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen’s inequality for n−convex functions are obtained and some Ostrowski-type inequalities related to obtained generalizations are given.
Pečarić Josip +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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A Grüss type inequality for two weighted functions
, 2018 Since Grüss in 1935 presented the so-called Grüss type inequality, a variety of its variants and generalizations have been investigated. Among those things, Dragomir in 2000 established a Grüss type inequality for a functional with a weighted function ...
Junesang Choi
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RETRACTED ARTICLE: Generalization of the Levinson inequality with applications to information theory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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Journal of Inequalities and Applications, 2020 In this paper, first we present some interesting identities associated with Green’s functions and Fink’s identity, and further we present some interesting inequalities for r-convex functions.
Sadia Khalid, Josip Pečarić
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A GRÜSS TYPE INEQUALITY FOR ISOTONIC LINEAR FUNCTIONALS AND APPLICATIONS
, 2003 An inequality for a normalised isotonic linear functional of Gr¨uss type and particular cases for integrals and norms are established. Applications in obtaining a counterpart for the Cauchy-Buniakowski-Schwartz inequality for functionals and Jessen’s ...
S. Dragomir
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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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Generalizations of Ostrowski type inequalities via Hermite polynomials
Journal 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
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