Popoviciu type inequalities for n−convex functions via extension of weighted Montgomery identity [PDF]
In this article, we derive the Popoviciu-type inequalities by using the weighted version of the extension of Montgomery’s identity and Green functions. Some results for n-convex functions at a point are also obtained.
PEČARIĆ, Josip +2 more
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A study on Hermite-Hadamard type inequalities for s-convex functions via conformable fractional integrals [PDF]
, 2017 In the present note, firstly we established a generalization of Hermite Hadamard’s inequality for s-convex functions via conformable fractional integrals which generalized Riemann-Liouville fractional integrals. Secondly, we proved new identity involving
SET, Erhan, GÖZPINAR, Abdurrahman
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GTH-convex functions, their properties, and their integral inequalities
Open MathematicsIn this paper, the authors introduce a new class of generalized convex functions, called GTH-convex functions. They investigate their fundamental properties and establish several new integral inequalities of Hermite–Hadamard type for this class of ...
Bai Yu-Mei, Wu Ying, Qi Feng
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© Hindawi Publishing Corp. A MORE GENERALIZED GRONWALL-LIKE INTEGRAL INEQUALITY WITH APPLICATIONS
, 2002 This paper deals with a new Gronwall-like integral inequality which is a generaliza-tion of integral inequalities proved by Engler (1989) and Pachpatte (1992).
Qinghua Ma, Lokenath Debnath
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Hermite-Hadamard type fractional integral inequalities for MT(m,ϕ)-preinvex functions [PDF]
, 2017 In the present paper, a new class of MT(m,ϕ)-preinvex functions is in- troduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving MT(m,ϕ)-preinvex functions are given.
LIKO, Rozana, KASHURI, Artion
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Most General Fractional Representation Formula for Functions and Implications [PDF]
, 2014 Here we present the most general fractional representation formulae for a function in terms of the most general fractional integral operators due to S. Kalla, [3], [4], [5].
Anastassiou, George A.
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On certain trilinear oscillatory integral inequalities
Advanced Nonlinear StudiesInequalities are established for certain trilinear scalar-valued functionals. These functionals act on measurable functions of one real variable, are defined by integration over two- or three-dimensional spaces, and are controlled in terms of Lebesgue ...
Christ Michael
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Uniform Treatment of Integral Majorization Inequalities with Applications to Hermite-Hadamard-Fejér-Type Inequalities and f-Divergences. [PDF]
Entropy (Basel), 2023 Horváth L.
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Some Mean-Value Theorems of the Cauchy Type [PDF]
, 2006 2000 Mathematics Subject Classification: Primary 26A24, 26D15; Secondary 41A05Some mean-value theorems of the Cauchy type, which are connected with Jensen’s inequality, are given in [2] in discrete form and in [5] in integral form.
Pecaric, Josip +2 more
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Quantitative uniform approximation by generalized discrete singular operators [PDF]
, 2015 Here we study the approximation properties with rates of generalized discrete versions of Picard, Gauss-Weierstrass, and Poisson-Cauchy singular op- erators. We treat both the unitary and non-unitary cases of the operators above.
KESTER, Merve, ANASTASSIOU, George A.
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