Some Integral Inequalities in 𝒱-Fractional Calculus and Their Applications
Mathematics, 2022 We consider the Steffensen–Hayashi inequality and remainder identity for V-fractional differentiable functions involving the six parameters truncated Mittag–Leffler function and the Gamma function.
Hari Mohan Srivastava +4 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
core +2 more sources
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
doaj +2 more sources
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
doaj +1 more source
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
semanticscholar +1 more source
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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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
semanticscholar +1 more source
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
doaj +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
doaj +1 more source
Some new Grüss inequalities associated with generalized fractional derivative
AIMS Mathematics, 2023 In this paper, we prove several new integral inequalities for the k-Hilfer fractional derivative operator, which is a fractional calculus operator. As a result, we have a whole new set of fractional integral inequalities.
Sajid Iqbal +4 more
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