Midpoint and trapezoid type inequalities for multiplicatively convex functions
, 2022 In this paper, we first prove two new identities for multiplicative differentiable functions. Based on this identity, we establish a midpoint and trapezoid type inequalities for multiplicatively convex functions. Applications to special means are also given.
Amel, Berhail, Badreddine, Meftah
openaire +3 more sources
On Quasi Convex Functions and Hadamard's Inequality [PDF]
, 2003 In this paper we establish some inequalities of Hadamard’s type involving Godunova-Levin functions, P-functions, quasi-convex functions, Jquasi- convex functions, Wright-convex functions and Wright-quasi-convex ...
Yang, Gou-Sheng +2 more
core +5 more sources
Injectiveness and Discontinuity of Multiplicative Convex Functions [PDF]
Mathematics, 2021 In the present work we study the set of multiplicative convex functions. In particular, we focus on the properties of injectiveness and discontinuity. We will show that a non constant multiplicative convex function is at most 2-injective, and construct multiplicative convex functions which are discontinuous at infinitely many points.
Pablo Jiménez-Rodríguez +3 more
openaire +3 more sources
Hadamard Inequalities for Wright-Convex Functions [PDF]
, 2003 In this paper, we establish serveral inequalities of Hadamard’s type for Wright-Convex ...
Yang, Gou-Sheng +2 more
core +6 more sources
On Some New Inequalities of Hermite-Hadamard-Féjer Type Involving Convex Functions [PDF]
, 2005 In this paper, we establish some inequalities of Hermite-Hadamard- Fejér type for m-convex functions and s-convex ...
Hwang, Shiow-Ru +2 more
core +5 more sources
Multiple Integral Inequalities for Schur Convex Functions on Symmetric and Convex Bodies
Analysis in Theory and Applications, 2023 In this paper, by making use of Divergence theorem for multiple integrals, we establish some integral inequalities for Schur convex functions defined on bodies $B⊂\mathbb{R}^n$ that are symmetric, convex and have nonempty interiors. Examples for three dimensional balls are also provided.
openaire +3 more sources
The Schur Multiplicative and Harmonic Convexities for Three Classes of Symmetric Functions [PDF]
Journal of Function Spaces, 2018 We investigate the Schur harmonic convexity for two classes of symmetric functions and the Schur multiplicative convexity for a class of symmetric functions by using a new method and generalizing previous result. As applications, we establish some inequalities by use of the theory of majorization, in particular, and we give some new geometric ...
Ming-bao Sun +3 more
openaire +2 more sources
Refinements of the Hermite-Hadamard Integral Inequality for Log-Convex Functions [PDF]
, 2000 Two refinements of the classical Hermite-Hadamard integral inequality for log-convex functions and applications for special means are ...
Dragomir, Sever S
core +5 more sources
Generalizations of the Hermite-Hadamard Type Inequalities for Functions whose Derivatives are s-Convex [PDF]
, 2009 Some new results related to the right-hand side of the Hermite- Hadamard type inequality for the class of functions whose derivatives at certain powers are s-convex functions in the second sense are ...
Kirmaci, US +3 more
core +5 more sources
Sharp Inequalities of Ostrowski Type for Convex Functions Defined on Linear Spaces and Applications [PDF]
, 2007 An Ostrowski type inequality for general convex functions defined on linear spaces is generalised. Some inequalities which improve the Hermite- Hadamard type inequality for convex functions defined on linear spaces are derived using the obtained ...
Dragomir, Sever S +2 more
core +5 more sources