Results 1 to 10 of about 452,076 (170)
Inequalities of Ando's Type for $n$-convex Functions [PDF]
Sahand Communications in Mathematical Analysis, 2020 By utilizing different scalar equalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Ando's inequality and in the Edmundson-Lah-Ribariv c inequality for solidarities that hold for a class ...
Rozarija Mikic, Josip Pečarić
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Majorization Inequalities for n-Convex Functions with Applications to 3-Convex Functions
MathematicsIn this paper, we study majorization-type inequalities for n-convex (specifically 3-convex) functions. Numerous papers deal with such integral inequalities, in which n-convex functions are defined on compact intervals and nonnegative measures are used in
László Horváth
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Popoviciu type inequalities for n-convex functions via extension of Montgomery identity [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 Extension of Montgomery's identity is used in derivation of Popoviciu-type inequalities containing sums , where f is an n-convex function. Integral analogues and some related results for n-convex functions at a point are also given, as well as Ostrowski ...
Khan Asif R. +2 more
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Extensions and improvements of Sherman’s and related inequalities for n-convex functions
Open Mathematics, 2017 This paper gives extensions and improvements of Sherman’s inequality for n-convex functions obtained by using new identities which involve Green’s functions and Fink’s identity.
Bradanović Slavica Ivelić +1 more
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Ostrowski Type Inequalities for $n$-Times Strongly $m$-$MT$-Convex Functions [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we introduce the class of strongly $m$--$MT$-convex functions based on the identity given in [P. Cerone et al., 1999]. We establish new inequalities of the Ostrowski-type for functions whose $n^{th}$ derivatives are strongly $m$--$MT ...
Badreddine Meftah, Chayma Marrouche
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Extending n-convex functions [PDF]
Studia Mathematica, 2005 Summary: We are given data \(\alpha_1, \dots, \alpha_m\) and a set of points \(E=\{x_1, \dots, x_m\}\). We address the question of conditions ensuring the existence of a function \(f\) satisfying the interpolation conditions \(f(x_i)=\alpha_i\), \(i=1, \dots, m\), that is also \(n\)-convex on a set properly containing \(E\).
Pinkus, Allan, Wulbert, Dan
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Characterizations and decomposition of strongly Wright-convex functions of higher order [PDF]
Opuscula Mathematica, 2015 Motivated by results on strongly convex and strongly Jensen-convex functions by R. Ger and K. Nikodem in [Strongly convex functions of higher order, Nonlinear Anal.
Attila Gilányi +3 more
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Generalizations of the Jensen–Mercer Inequality via Fink’s Identity
Mathematics, 2021 We generalize an integral Jensen–Mercer inequality to the class of n-convex functions using Fink’s identity and Green’s functions. We study the monotonicity of some linear functionals constructed from the obtained inequalities using the definition of n ...
Anita Matković
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Means involving linear functionals and n-convex functions [PDF]
Mathematical Inequalities & Applications, 2011 In this article we study Cauchy type means for linear functionals. We examine their monotonicity properties, and even more we give new type of inequalities after we proved exponential convexity. We cover a number of well-known means such as generalized Stolarsky, Stolarsky-Tobey and Whiteley means.
Jakšetić, Julije, Pečarić, Josip
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Ostrowski-Type Fractional Integral Inequalities: A Survey
Foundations, 2023 This paper presents an extensive review of some recent results on fractional Ostrowski-type inequalities associated with a variety of convexities and different kinds of fractional integrals.
Muhammad Tariq +2 more
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