131 Result(s)
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Open AccessMonotonic and Logarithmically Convex Properties of a Function Involving Gamma Functions
Using the series-expansion of digamma functions and other techniques, some monotonicity and logarithmical concavity involving the ratio of gamma function are obtained, which is to give a partially affirmative ...
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Open AccessSchur-Convexity for a Class of Symmetric Functions and Its Applications
For , the symmetric function is defined by ...
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Open AccessTwo Sharp Inequalities for Power Mean, Geometric Mean, and Harmonic Mean
For , the power mean of order of two positive numbers ...
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Article
Open AccessSufficient and Necessary Conditions for Oscillation of th-Order Differential Equation with Retarded Argument
Necessary and sufficient conditions are found for oscillation of the solutions of a class of strongly superlinear and strongly sublinear differential equations of even order with retarded argument.
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Open AccessA New Method to Study Analytic Inequalities
We present a new method to study analytic inequalities involving variables. Regarding its applications, we proved some well-known inequ...
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Open AccessInequalities for Generalized Logarithmic Means
For , the generalized logarithmic mean of two positive numb...
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Open AccessSome Comparison Inequalities for Generalized Muirhead and Identric Means
For , with , the generalized Muirhead mean
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Open AccessOptimal Inequalities for Generalized Logarithmic, Arithmetic, and Geometric Means
For , the generalized logarithmic mean , arithmetic mean ...
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Open AccessThe Hermite-Hadamard Type Inequality of GA-Convex Functions and Its Application
We established a new Hermit-Hadamard type inequality for GA-convex functions. As applications, we obtain two new Gautschi type inequalities for gamma function.
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Open AccessOscillations of Second-Order Neutral Impulsive Differential Equations
Necessary and sufficient conditions are established for oscillation of second-order neutral impulsive differential equation , ...
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Open AccessOn Schur Convexity of Some Symmetric Functions
For and , the symmetric function
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Open AccessOptimal Power Mean Bounds for the Weighted Geometric Mean of Classical Means
For , the power mean of order of two positive numbers ...
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Open AccessThe Optimal Convex Combination Bounds of Arithmetic and Harmonic Means for the Seiffert's Mean
We find the greatest value and least value such that the d...
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Open AccessMultiplicative Concavity of the Integral of Multiplicatively Concave Functions
We prove that is multiplicatively concave on if ...
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Open AccessOscillatory Criteria for the Two-Dimensional Difference Systems
We establish some necessary and sufficient conditions for oscillation of the solutions of the following two-dimensional difference system: ...
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Open AccessAn Optimal Double Inequality between Power-Type Heron and Seiffert Means
For , the power-type Heron mean and the Seiffert mean ...
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Open AccessA Class of Logarithmically Completely Monotonic Functions Associated with a Gamma Function
We show that the function is strictly logarithmically completely monotonic on
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Open AccessNecessary and sufficient conditions for a class of functions and their reciprocals to be logarithmically completely monotonic
We prove that the function F α,β (x) = x α Γ β (x)/Γ(βx) is strictly logarithmically completely monotonic on (...
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Open AccessTwo sharp double inequalities for Seiffert mean
In this paper, we establish two new inequalities between the root-square, arithmetic, and Seiffert means.
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Open AccessA best-possible double inequality between Seiffert and harmonic means
In this paper, we establish a new double inequality between the Seiffert and harmonic means.
