New generalizations of Popoviciu-type inequalities via new Green’s functions and Montgomery identity [PDF]
Journal of Inequalities and Applications, 2017 The inequality of Popoviciu, which was improved by Vasić and Stanković (Math. Balk. 6:281-288, 1976), is generalized by using new identities involving new Green’s functions.
Nasir Mehmood +3 more
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On generalization of refinement of Jensen’s inequality using Fink’s identity and Abel-Gontscharoff Green function [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we formulate new Abel-Gontscharoff type identities involving new Green functions for the ‘two-point right focal’ problem. We use Fink’s identity and a new Abel-Gontscharoff-type Green’s function for a ‘two-point right focal’ to generalize ...
Tasadduq Niaz +2 more
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On Trapezoid Inequality Via a Grüss Type Result and Applications [PDF]
, 1999 In this paper, we point out a Grüss type inequality and apply it for special means (logarithmic mean, identric mean, etc...
McAndrew, Alasdair, Dragomir, Sever S
core +6 more sources
The local health impacts of natural resource booms. [PDF]
Health Econ, 2023 Abstract This paper uses novel micro‐data on natural resources and administrative health data in Brazil to study how economic booms in minerals affect health at birth. By implementing a reduced‐form estimation of shift‐share research designs, the identification strategy relies on the exogeneity of global commodity prices to municipality‐specific health
Maffioli EM.
europepmc +2 more sources
A Refinement of the Grüss Inequality and Applications [PDF]
, 2002 A sharp refinement of the Grüss inequality in the general setting of measurable spaces and abstract Lebesgue integrals is proven.
Cerone, Pietro, Dragomir, Sever S
core +6 more sources
Some Integral and Discrete Versions of the Grüss Inequality for Real and Complex Functions and Sequences [PDF]
, 2002 Some particular cases of a recent result in inner product spaces generalizing Grüss inequality that have potential for applications are ...
Dragomir, Sever S, Gomm, Ian
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Generalized Čebyšev and Grüss Type Results in Weighted Lebesgue Spaces
Mathematics, 2023 The classical Grüss and related inequalities have spurred a range of improvements, refinements, generalizations, and extensions. In the present article, we provide generalizations of Sokolov’s inequality in weighted Lebesgue LωΩ,A,μ spaces by employing ...
Saad Ihsan Butt +2 more
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Generalizations of Hardy-Type Inequalities by Montgomery Identity and New Green Functions
Axioms, 2023 In this paper we extend general Hardy’s inequality by appropriately combining Montgomery’s identity and Green functions. Related Grüss and Ostrowski-type inequalities are also derived.
Kristina Krulić Himmelreich +3 more
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Some integral inequalities related to Wirtinger's result for p-norms
Cubo, 2021 In this paper we establish several natural consequences of some Wirtinger type integral inequalities for p-norms. Applications related to the trapezoid unweighted inequalities, of Grüss' type inequalities and reverses of Jensen's inequality are also ...
S. S. Dragomir
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Some k-fractional extension of Grüss-type inequalities via generalized Hilfer–Katugampola derivative
Advances in Difference Equations, 2021 In this paper, we prove several inequalities of the Grüss type involving generalized k-fractional Hilfer–Katugampola derivative. In 1935, Grüss demonstrated a fascinating integral inequality, which gives approximation for the product of two functions ...
Samaira Naz +2 more
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