AbstractThe paper deals with the equality problem of quasi-arithmetic and Lagrangian means which is to determine all pairs of continuous strictly monotone functions φ,ψ:I→R such that, for all x,y∈I,φ−1(φ(x)+φ(y)2)=ψ−1(1y−x∫xyψ(t)dt) holds. The main result of the paper shows that there are 6 different cases of equality
In the paper, monotonicity properties of functions related to means are discussed and some inequalit...
We obtain the existence of symmetric Mountain Pass solutions for quasi-linear equations without the ...
We present a list of geometric problems with solutions that lead to knownor less known means. We als...
AbstractThe paper deals with the equality problem of quasi-arithmetic and Lagrangian means which is ...
AbstractThe aim of this paper is to find those pairs of generalized quasi-arithmetic means on an ope...
AbstractLet I⊂R be a non-trivial interval and let λ,μ,ν:I2→(0,1). We present some results concerning...
AbstractLet φ, ψ, γ, β:(0,∞)→R, strictly monotonic and continuous functions, be the generators of th...
AbstractA variant of Jensen–Steffensen's inequality is proved. Necessary and sufficient conditions f...
Abstract In the article, we present the best possible parameters λ = λ ( p ) $\lambda=\lambda (p)$ a...
Let (X, L, λ) and (Y, M, μ) be finite measure spaces for which there exist A∈ L and B∈ M with 0 <...
Abstract In this article, we prove that the double inequalities α1[7C(a,b)16+9H(a,b)16]+(1−α1)[3A(a,...
Symmetrical patterns exist in the nature of inequalities, which play a basic role in theoretical and...
AbstractIn this paper, we study the invariance of the geometric mean with respect to some generalize...
Improvement of Jensen’s inequality for the Quasi arithmetic mean for convex and monotone conve...
AbstractWe consider an inverse Hölder type inequality of J. Bergh [Math Z.215 (1994), 205-208] yield...
In the paper, monotonicity properties of functions related to means are discussed and some inequalit...
We obtain the existence of symmetric Mountain Pass solutions for quasi-linear equations without the ...
We present a list of geometric problems with solutions that lead to knownor less known means. We als...
AbstractThe paper deals with the equality problem of quasi-arithmetic and Lagrangian means which is ...
AbstractThe aim of this paper is to find those pairs of generalized quasi-arithmetic means on an ope...
AbstractLet I⊂R be a non-trivial interval and let λ,μ,ν:I2→(0,1). We present some results concerning...
AbstractLet φ, ψ, γ, β:(0,∞)→R, strictly monotonic and continuous functions, be the generators of th...
AbstractA variant of Jensen–Steffensen's inequality is proved. Necessary and sufficient conditions f...
Abstract In the article, we present the best possible parameters λ = λ ( p ) $\lambda=\lambda (p)$ a...
Let (X, L, λ) and (Y, M, μ) be finite measure spaces for which there exist A∈ L and B∈ M with 0 <...
Abstract In this article, we prove that the double inequalities α1[7C(a,b)16+9H(a,b)16]+(1−α1)[3A(a,...
Symmetrical patterns exist in the nature of inequalities, which play a basic role in theoretical and...
AbstractIn this paper, we study the invariance of the geometric mean with respect to some generalize...
Improvement of Jensen’s inequality for the Quasi arithmetic mean for convex and monotone conve...
AbstractWe consider an inverse Hölder type inequality of J. Bergh [Math Z.215 (1994), 205-208] yield...
In the paper, monotonicity properties of functions related to means are discussed and some inequalit...
We obtain the existence of symmetric Mountain Pass solutions for quasi-linear equations without the ...
We present a list of geometric problems with solutions that lead to knownor less known means. We als...
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