\(N\)-tuple diamond-alpha integral and inequalities on time scales
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Publication:2317561
DOI10.1007/s13398-018-0609-6zbMath1429.26048OpenAlexW2902999542WikidataQ128845509 ScholiaQ128845509MaRDI QIDQ2317561
Publication date: 12 August 2019
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-018-0609-6
Hölder inequalityJensen inequalityBeckenbach inequalitydiamond-alpha integral\(N\)-tuple diamond-alpha integral
Inequalities for sums, series and integrals (26D15) Real analysis on time scales or measure chains (26E70)
Related Items (14)
Delta L'Hospital-, Laplace- and variable limit-type monotonicity rules on time scales ⋮ Delta complete monotonicity and completely monotonic degree on time scales ⋮ Lebesgue-Stieltjes combined \(\Diamond_\alpha\)-measure and integral on time scales ⋮ Bounds for the perimeter of an ellipse in terms of power means ⋮ Extensions of Hölder's inequality and its applications in Ostrowski inequality ⋮ A connection between weighted Hardy's inequality and half-linear dynamic equations ⋮ Higher dimensions opial diamond-alpha inequalities on time scales ⋮ Extensions and applications of power-type Aczél-Vasić-Pečarić's inequalities ⋮ Some new Hermite-Hadamard-type inequalities associated with conformable fractional integrals and their applications ⋮ Extensions and demonstrations of Hölder's inequality ⋮ Generalizations and refinements of three-tuple diamond-alpha integral Hölder's inequality on time scales ⋮ On Cauchy-Schwarz inequality for \(N\)-tuple diamond-alpha integral ⋮ Answers to three conjectures on convexity of three functions involving complete elliptic integrals of the first kind ⋮ The monotonicity of ratios involving arc tangent function with applications
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