New Bounds of Cyclic Jensen’s Differences via Weighted Hadamard Inequalities with Applications
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Tahir Rasheed
,
Ɖilda Pečarić
ABSTRACT
We generalize cyclic Jensen’s inequality utilizing the theory of 4-convex function under the effect of introduced Green functions. We formulate result for power means and quasi means. Also we give applications in information theory by giving new estimations of generalized Csiszár divergence, Rényi-divergence, Shannon-entropy, Kullback-Leibler divergence and χ2-divergence.
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Articles in the same Issue
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- Regular Double p-Algebras: A Converse to a Katriňák Theorem and Applications
- Uniform Local Connectedness and Completion of Metric σ-Frames
- On Transcendental Regular Continued Fractions
- On Repdigits Which are Sums or Differences of Two k-Pell Numbers
- Peirce Decompositions for Evolution Algebras
- Generalized Anti-Symmetry Laws in Groupoids
- New Bounds of Cyclic Jensen’s Differences via Weighted Hadamard Inequalities with Applications
- Geometric Properties of Generalized Bessel Function Associated with the Exponential Function
- On the Attainable Set of Iterative Differential Inclusions
- On the Differential-Difference Sine-Gordon Equation with an Integral Type Source
- A Critical p(x)-Laplacian Steklov Type Problem with Weights
- Distributivity of a Uni-nullnorm with Continuous and Archimedean Underlying T-norms and T-conorms Over an Arbitrary Uninorm
- Some Approximation Properties of Operators Including Degenerate Appell Polynomials
- Operators that are Weakly Coercive and a Compact Perturbation
- On the Structure Lie Operator of a Real Hypersurface in the Complex Quadric
- Paracompactness and Open Relations
- On (Strongly) (Θ-)Discrete Homogeneous Spaces
- The Alpha Power Muth-G Distributions and Its Applications in Survival and Reliability Analyses
- Weakly Einstein Equivalence in a Golden Space Form and Certain CR-submanifolds
Articles in the same Issue
-
- Regular Double p-Algebras: A Converse to a Katriňák Theorem and Applications
- Uniform Local Connectedness and Completion of Metric σ-Frames
- On Transcendental Regular Continued Fractions
- On Repdigits Which are Sums or Differences of Two k-Pell Numbers
- Peirce Decompositions for Evolution Algebras
- Generalized Anti-Symmetry Laws in Groupoids
- New Bounds of Cyclic Jensen’s Differences via Weighted Hadamard Inequalities with Applications
- Geometric Properties of Generalized Bessel Function Associated with the Exponential Function
- On the Attainable Set of Iterative Differential Inclusions
- On the Differential-Difference Sine-Gordon Equation with an Integral Type Source
- A Critical p(x)-Laplacian Steklov Type Problem with Weights
- Distributivity of a Uni-nullnorm with Continuous and Archimedean Underlying T-norms and T-conorms Over an Arbitrary Uninorm
- Some Approximation Properties of Operators Including Degenerate Appell Polynomials
- Operators that are Weakly Coercive and a Compact Perturbation
- On the Structure Lie Operator of a Real Hypersurface in the Complex Quadric
- Paracompactness and Open Relations
- On (Strongly) (Θ-)Discrete Homogeneous Spaces
- The Alpha Power Muth-G Distributions and Its Applications in Survival and Reliability Analyses
- Weakly Einstein Equivalence in a Golden Space Form and Certain CR-submanifolds
