Hermite-Hadamard type inequalities for the m- and (α, m)-logarithmically convex functions

By Ruixue Bai, Feng Qi (祁锋), Bo-Yan Xi. 2013

113 citations recorded by the source corpus.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/31fe9f1468eb5e7d25c4c7fc78ad58ba4ff64f3f

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In Applied Mathematics

1. Bo-Yan Xi
2. Feng Qi (祁锋)
3. Bai-Ni Guo (郭白妮)
4. Chao Chen
5. Y. Chu
6. Hari M. Srivastava
7. Dongkyu Lim
8. Christoph Studer

Citations in the corpus

• Inequalities of Hermite-Hadamard type for extended $s$-convex functions and applications to means (2014, background): “ = (0,∞). The following definitions are well known in the literature. Definition 1.1. A function f : I ⊆ R→ Ris said to be convex if (1.2) f(λx +(1−λ)y) ≤ λf(x) +(1−λ)f(y) holds for all x,y ∈ I and λ ∈ [0,1]. Definition 1.2 ([5]). A function f : I ⊆ R→ R0 is said to be P-convex if (1.3) f(λx +(1−λ)y) ≤”