The optimal convex combination bounds of arithmetic and harmonic means for the Seiffert's mean.
The Young inequality and the Δ₂-condition
If φ: [0,∞) → [0,∞) is a convex function with φ(0) = 0 and conjugate function φ*, the inequality is shown to hold true for every ε ∈ (0,∞) if and only if φ* satisfies the Δ₂-condition.
Turán-type inequalities for some -special functions.
Turán-type inequalities for some special functions.
Two new algebraic inequalities with variables.
Two new mappings associated with inequalities of Hadamard-type for convex functions.