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REMARKS ON THE MONOTONICITY AND CONVEXITY OF JENSEN'S FUNCTION

期刊: MATHEMATICAL INEQUALITIES & APPLICATIONS, 2021; 24 (2)

Let x(1), x(2), ..., x(n) be nonnegative real numbers. The Jensen function of {x(i)}(i=1)(n) is defined as J(s)(x) = (Sigma(n)(i=1) x(i)(s))(1/s), als......

BESOV-MORREY SPACES AND VOLTERRA INTEGRAL OPERATOR

期刊: MATHEMATICAL INEQUALITIES & APPLICATIONS, 2021; 24 (3)

In this paper, we introduce a class of Besov-Morrey spaces B-p(lambda) (s). For any positive Borel measure mu, we characterize the boundedness and com......

NECESSARY AND SUFFICIENT CONDITIONS FOR A DIFFERENCE CONSTITUTED BY FOUR DERIVATIVES OF A FUNCTION INVOLVING TRIGAMMA FUNCTION TO BE COMPLETELY MONOTONIC

期刊: MATHEMATICAL INEQUALITIES & APPLICATIONS, 2021; 24 (3)

In the paper, by virtue of convolution theorem for the Laplace transforms, Bernstein's theorem for completely monotonic functions, and other technique......

SPLITTING OF OPERATORS FOR FRAME INEQUALITIES

期刊: MATHEMATICAL INEQUALITIES & APPLICATIONS, 2021; 24 (2)

In this paper, we obtain some new inequalities for frames, which are parametrized by a parameter lambda subset of R. By suitable choices of lambda, on......

ON COMPLEX L-p AFFINE ISOPERIMETRIC INEQUALITIES

期刊: MATHEMATICAL INEQUALITIES & APPLICATIONS, 2021; 24 (3)

Recently, Haberl [18] established the complex version of the Petty projection inequality and the Busemann-Petty centroid inequality. In this paper, we......

ON STEVIC-SHARMA OPERATOR FROM THE MIXED-NORM SPACES TO ZYGMUND-TYPE SPACES

期刊: MATHEMATICAL INEQUALITIES & APPLICATIONS, 2021; 24 (2)

Let phi be an analytic self-map of the unit disk D, H(D) the space of all analytic functions on D, and psi(1), psi(2) is an element of H(D). The bound......

APPLICATIONS OF SECTIONS AND HALF VOLUMES IN STABILITY

期刊: MATHEMATICAL INEQUALITIES & APPLICATIONS, 2021; 24 (3)

It is well known that one of the applications of spherical harmonics to convexity is to the so called uniqueness results, and also to stability result......

A TRUDINGER-MOSER INEQUALITY WITH MEAN VALUE ZERO ON A COMPACT RIEMANN SURFACE WITH BOUNDARY

期刊: MATHEMATICAL INEQUALITIES & APPLICATIONS, 2021; 24 (3)

In this paper, on a compact Riemann surface (Sigma, g) with smooth boundary partial derivative Sigma, we concern a Trudinger-Moser inequality with mea......

NEW EQUIAFFINE CHARACTERIZATIONS OF THE ELLIPSOIDS RELATED TO AN EQUIAFFINE INTEGRAL INEQUALITY ON HYPEROVALOIDS

期刊: MATHEMATICAL INEQUALITIES & APPLICATIONS, 2021; 24 (2)

In this paper, we study hyperovaloids from the perspective of the equiaffine differential geometry. As the main result, we establish an optimal integr......

ON THE GENERALIZED VON NEUMANN-JORDAN TYPE CONSTANT FOR SOME CONCRETE BANACH SPACES

期刊: MATHEMATICAL INEQUALITIES & APPLICATIONS, 2021; 24 (3)

In this paper, we investigate the relations involving the generalized von NeumannJordan type constant of the absolute normalized norms parallel to cen......

A PICONE'S IDENTITY FOR THE p(x)- LAPLACE EQUATIONS AND ITS APPLICATIONS

期刊: MATHEMATICAL INEQUALITIES & APPLICATIONS, 2021; 24 (3)

In this paper, we present a Picone identity for the p(x)-Laplace equations and establish some applications of this formula, such as Caccioppoli inequa......

BOUNDEDNESS OF BI-PARAMETER LITTLEWOOD-PALEY g(lambda)* -FUNCTION ON HARDY SPACES

期刊: MATHEMATICAL INEQUALITIES & APPLICATIONS, 2021; 24 (1)

In this paper, we prove the H-p - L-p boundedness of bi-parameter Littlewood-Paley g(lambda)* -function with p less than 1, improving on the H-1 - L-1......

COMPOSITION OPERATORS AND CLOSURES OF A CLASS OF MOBIUS INVARIANT FUNCTION SPACES IN THE BLOCH SPACE

期刊: MATHEMATICAL INEQUALITIES & APPLICATIONS, 2021; 24 (1)

Closures of a class of Mobius invariant function spaces in the Bloch space are investigated in this paper. Moreover, the boundedness and compactness o......

PROOFS OF CONJECTURES OF ELEZOVIC AND VUKSIC CONCERNING THE INEQUALITIES FOR MEANS

期刊: MATHEMATICAL INEQUALITIES & APPLICATIONS, 2021; 24 (1)

By using the asymptotic expansion method, Elezovic and Vuksic conjectured certain inequalities related to Neuman-Sandor mean. The aim of this paper is......

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