Generalizations and applications of Young's integral inequality by higher order derivatives
DOI10.1186/s13660-019-2196-2zbMath1499.26197OpenAlexW2973095694MaRDI QIDQ2068013
Junqing Wang, Bai-Ni Guo, Feng Qi
Publication date: 19 January 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-019-2196-2
normexponential integrallogarithmic integralLebesgue measureinverse functionapplicationTaylor theoremhigher order derivativeexistence of partitions of unityYoung integral inequality
Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Inequalities for trigonometric functions and polynomials (26D05) Inequalities involving other types of functions (26D07) Exponential and trigonometric functions (33B10)
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- Hermite-Hadamard type inequalities for the product of \((\alpha,m)\)-convex function
- Explicit expressions for a family of the Bell polynomials and applications
- Extension of Hu Ke's inequality and its applications
- Complete monotonicity of a difference between the exponential and trigamma functions and properties related to a modified Bessel function
- Derivatives of tangent function and tangent numbers
- An explicit formula for the Bell numbers in terms of the Lah and Stirling numbers
- On an inequality for the sum of infimums of functions
- Explicit formulas and identities for the Bell polynomials and a sequence of polynomials applied to differential equations
- More Calculus of a Single Variable
- Properties of modified Bessel functions and completely monotonic degrees of differences between exponential and trigamma functions
- Explicit formulas for computing Bernoulli numbers of the second kind and Stirling numbers of the first kind
- Error terms for Steffensen's, Young's, and Chebychev's Inequalities
- Some inequalities constructed by Tchebysheff's integral inequality
- A note on Young inequality
- AN ESTIMATION OF YOUNG INEQUALITY
- Hermite--Hadamard type inequalities for the product of (α,m )-convex functions
- Properties of generalized sharp Hölder's inequalities
- A property of logarithmically absolutely monotonic functions and the logarithmically complete monotonicity of a power-exponential function
- A new refinement of Young's inequality
- Analytic Inequalities
- Diagonal recurrence relations for the Stirling numbers of the first kind