Search Results - "Krnić, Mario"
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Improving Jensen-type Inequalities Via the Sum of the Lidstone Polynomials
Published in Bulletin of the Malaysian Mathematical Sciences Society (01-05-2024)“…We aim to establish refinements of the Jensen inequality for the classes of completely convex and absolutely convex functions. In the first case the refinement…”
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Multidimensional Hilbert-Type Inequalities Obtained via Local Fractional Calculus
Published in Acta applicandae mathematicae (01-10-2020)“…In this paper we give a unified treatment of multidimensional fractal Hilbert-type inequalities. More precisely, we establish a Hilbert-type inequality with a…”
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3
On Superquadratic and Logarithmically Superquadratic Functions
Published in Mediterranean journal of mathematics (01-12-2023)“…In this paper, we develop a concept of a logarithmically superquadratic function. Such a class of functions is defined via superquadratic functions. We first…”
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4
A refined discrete Hilbert inequality obtained via the Hermite–Hadamard inequality
Published in Computers & mathematics with applications (1987) (01-06-2012)“…In this paper we establish a general method for improving the discrete Hilbert-type inequalities via the Hermite–Hadamard inequality. The general result is…”
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5
A class of fractal Hilbert‐type inequalities obtained via Cantor‐type spherical coordinates
Published in Mathematical methods in the applied sciences (15-05-2021)“…We present a class of higher dimensional Hilbert‐type inequalities on a fractal set (ℝ+αn)k. The crucial step in establishing our results are higher…”
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A unified treatment of Hilbert–Pachpatte-type inequalities for a class of non-homogeneous kernels
Published in Applied mathematics and computation (15-02-2019)“…In the present paper we establish a unified treatment of Hilbert–Pachpatte-type inequalities for a class of non-homogeneous kernels. Our results are derived in…”
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7
More accurate Young, Heinz, and Hölder inequalities for matrices
Published in Periodica mathematica Hungarica (01-09-2015)“…In this paper we deal with a more precise estimates for the matrix versions of Young, Heinz, and Hölder inequalities. First we give an improvement of the…”
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8
Characterizations of inner product spaces via angular distances and Cauchy–Schwarz inequality
Published in Aequationes mathematicae (01-02-2021)“…We study some interesting characterizations of real inner product spaces expressed in terms of angular distances. We first discuss the equivalence of…”
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Jensen-Type Inequalities, Montgomery Identity and Higher-Order Convexity
Published in Mediterranean journal of mathematics (01-10-2022)“…Motivated by some recent results known from the literature, in this paper, we establish a class of Jensen-type inequalities referring to functions of an even…”
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10
Bounds for the p-Angular Distance and Characterizations of Inner Product Spaces
Published in Mediterranean journal of mathematics (01-08-2021)“…Based on a suitable improvement of a triangle inequality, we derive new mutual bounds for p -angular distance α p [ x , y ] = ‖ ‖ x ‖ p - 1 x - ‖ y ‖ p - 1 y ‖…”
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11
Some New Discrete Copson-Type Inequalities Involving a Generalized Riesz Mean Operator
Published in Resultate der Mathematik (01-06-2022)“…In this paper, we establish some new weighted discrete inequalities containing a generalized Riesz mean operator. The obtained inequalities hold for a class of…”
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12
Upper bounds for the norm of the sum and Kronecker product of Hilbert space operators
Published in Linear & multilinear algebra (29-04-2024)Get full text
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A unified approach to fractal Hilbert-type inequalities
Published in Journal of inequalities and applications (30-04-2019)“…In the present study we provide a unified treatment of fractal Hilbert-type inequalities. Our main result is a pair of equivalent fractal Hilbert-type…”
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14
Some new dynamic inequalities for B-monotone functions with respect to time scales nabla calculus
Published in Journal of inequalities and applications (16-09-2024)“…Motivated by certain results known from the literature, in this paper we give several new dynamic inequalities for B -monotone functions with respect to time…”
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15
REVERSE YOUNG-TYPE INEQUALITIES FOR MATRICES AND OPERATORS
Published in The Rocky Mountain journal of mathematics (01-01-2016)“…We present some reverse Young-type inequalities for the Hilbert-Schmidt norm as well as any unitarily invariant norm. Furthermore, we give some inequalities…”
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16
Half-discrete Hilbert-type inequalities with mean operators, the best constants, and applications
Published in Applied mathematics and computation (15-03-2014)“…In this article we derive several new half-discrete Hilbert-type inequalities with a general homogeneous kernel, involving arithmetic, geometric and harmonic…”
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17
Some New Weighted Dynamic Inequalities for Monotone Functions Involving Kernels
Published in Mediterranean journal of mathematics (01-04-2020)“…In the present article, we derive several new weighted dynamic inequalities for monotone functions involving kernels, some of which are the Hardy-type…”
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18
APPLICATION OF THE FINK IDENTITY TO JENSEN-TYPE INEQUALITIES FOR HIGHER ORDER CONVEX FUNCTIONS
Published in Applicable analysis and discrete mathematics (01-04-2024)“…The focus of this paper is the application of the Fink identity in obtaining Jensen-type inequalities for higher order convex functions. In addition to the…”
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19
More Accurate Jensen-Type Inequalities Based on the Lidstone Interpolation Formula
Published in Resultate der Mathematik (01-12-2023)“…The main goal of this paper is a study of Jensen-type inequalities based on Lidstone interpolation formula. We establish Jensen-type inequalities for convex…”
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20
Some new dynamic Hardy-type inequalities with kernels involving monotone functions
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (01-07-2020)“…The main objective of the present paper is an extension of several classical integral Hardy-type inequalities with kernels to a time scales setting. The…”
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