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On some inequalities for functions whose absolute values of the second derivatives are α-, m-, (α,m)-logarithmically convex
-
İbrahi̇m Karabayir
,
Mevlüt Tunç
Veröffentlicht/Copyright:
1. April 2015
Abstract
In this paper, we establish some new Hadamard-type inequalities using elementary well-known inequalities for functions whose absolute values of the second derivatives are α-, m-, (α,m)-logarithmically convex.
Keywords: α-; m-; (α,m)-logarithmically convex; Hadamard's inequality; Hölder's inequality; power mean inequality; Cauchy's inequality
Dr. İbrahi̇m Karabayir and Dr. Ebru Yüksel thank Dr. Mevlüt Tunç, the principal author of the present paper, for his kind service as corresponding author.
Received: 2013-3-26
Accepted: 2014-7-18
Published Online: 2015-4-1
Published in Print: 2015-6-1
© 2015 by De Gruyter
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Artikel in diesem Heft
- Frontmatter
- I2(u)-convergence of double sequences of order (α,β)
- Regular elements of the complete semigroups of binary relations of the class Σ6(X,8)
- On the limit properties of maximal likelihood estimators in a Hilbert space
- Shadowing and average shadowing properties for iterated function systems
- On almost increasing and quasi monotone sequences
- An unabelian version of the Voronov higher bracket construction
- Necessary and sufficient conditions for the ℍ-differentiability of quaternion functions
- k-step nilpotent Lie algebras
- An optimal control problem for a system of linear hyperbolic differential equations with constant coefficients
- On topologies in the family of sets with the Baire property
- On some inequalities for functions whose absolute values of the second derivatives are α-, m-, (α,m)-logarithmically convex
- On the cardinalities of at-sets in a real Hilbert space
- Higher-order Bernoulli and poly-Bernoulli mixed type polynomials
- On the existence of solutions for nonlocal boundary value problems
- fpn-injective and fpn-flat modules
- Algebroid functions with given Borel points
Schlagwörter für diesen Artikel
α-;
m-;
(α,m)-logarithmically convex;
Hadamard's inequality;
Hölder's inequality;
power mean inequality;
Cauchy's inequality
Artikel in diesem Heft
- Frontmatter
- I2(u)-convergence of double sequences of order (α,β)
- Regular elements of the complete semigroups of binary relations of the class Σ6(X,8)
- On the limit properties of maximal likelihood estimators in a Hilbert space
- Shadowing and average shadowing properties for iterated function systems
- On almost increasing and quasi monotone sequences
- An unabelian version of the Voronov higher bracket construction
- Necessary and sufficient conditions for the ℍ-differentiability of quaternion functions
- k-step nilpotent Lie algebras
- An optimal control problem for a system of linear hyperbolic differential equations with constant coefficients
- On topologies in the family of sets with the Baire property
- On some inequalities for functions whose absolute values of the second derivatives are α-, m-, (α,m)-logarithmically convex
- On the cardinalities of at-sets in a real Hilbert space
- Higher-order Bernoulli and poly-Bernoulli mixed type polynomials
- On the existence of solutions for nonlocal boundary value problems
- fpn-injective and fpn-flat modules
- Algebroid functions with given Borel points
