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Generalization of Some Integral Inequalities for Arithmetic Harmonically Convex Functions
Cumhuriyet Science Journal, 2022 In this study, by using an integral identity, Hölder integral inequality and modulus properties we obtain some new general inequalities of the Hermite-Hadamard and Bullen type for functions whose derivatives in absolute value at certain power are ...
Huriye Kadakal
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AIMS Mathematics, 2023 In this paper, the authors define the notion of harmonic-arithmetic extended $ (s_1, m_1) $-$ (s_2, m_2) $ coordinated convex functions, establish a new integral identity, present some new Hermite–Hadamard type integral inequalities for harmonic ...
Chun-Ying He, Aying Wan, Bai-Ni Guo
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Cumhuriyet Science Journal, 2019 In this work, by using both anintegral identity and the Hölder, the power-mean integral inequalities it isestablished several new inequalities for two times differentiablearithmetic-harmonically-convex function. Also, a few applications are given forsome
Huriye Kadakal
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On New Integral Inequalities via Geometric-Arithmetic Convex Functions with Applications [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this study, new Hermite-Hadamard type inequalities are generated for geometric-arithmetic functions with the help of an integral equation proved for differentiable functions.
Merve Avcı Ardıç +2 more
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Weak-Type (1,1) Inequality for Discrete Maximal Functions and Pointwise Ergodic Theorems Along Thin Arithmetic Sets [PDF]
Journal of Fourier Analysis and Applications, 2023 AbstractWe establish weak-type (1, 1) bounds for the maximal function associated with ergodic averaging operators modeled on a wide class of thin deterministic sets B. As a corollary we obtain the corresponding pointwise convergence result on $$L^1$$ L 1 ...
Leonidas Daskalakis
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Inequalities for the arithmetical functions of Euler and Dedekind [PDF]
Czechoslovak Mathematical Journal, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alzer, Horst, Kwong, Man Kam
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Some inequalities for geometrically-arithmetically h-convex functions [PDF]
Creative Mathematics and Informatics, 2014 In this paper, we consider a class of geometrically convex function which is called geometrically-arithmetically h-convex function. Some inequalities of Hermite-Hadamard type for geometrically-arithmetically h-convex functions are derived. Several special cases are discussed.
MUHAMMAD ASLAM NOOR +2 more
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Riemann-Liouville fractional Hermite-Hadamard inequalities. Part I: for once differentiable geometric-arithmetically s-convex functions [PDF]
Journal of Inequalities and Applications, 2013 Abstract By using the definition of geometric-arithmetically s-convex functions in (Analysis 33:197-208, 2013) and first-order fractional integral identities in (Math. Comput. Model. 57:2403-2407, 2013; J. Appl. Math. Stat. Inform. 8:21-28, 2012; Comput. Math. Appl. 63:1147-1154, 2012), we present some interesting Riemann-Liouville fractional
Liao, YuMei +2 more
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Quasi-arithmetic Means Inequalities Criteria for Differentiable Functions
Journal of Mathematics Research, 2015 Quasi-arithmetic means are defined for continuous, strictly monotone functions. In the case that functions are twice differentiable, we obtained criteria for inequalities between finite number of quasi-arithmetic means in additional and multiplicative case. Applications for H\"older and Minkowski type inequalities are given.
Bovzidar Ivankovic
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HERMITE-HADAMARD TYPE INEQUALITIES FOR GEOMETRIC-ARITHMETICALLY s-CONVEX FUNCTIONS
Communications of the Korean Mathematical Society, 2014 In the paper, several properties of geometric-arithmetically s-convex functions are provided, an integral identity in which the inte- grands are products of a function and a derivative is found, and then some inequalities of Hermite-Hadamard type for integrals whose inte- grands are products of a derivative and a function whose derivative is of the ...
Ju Hua, Bo-Yan Xi, Feng Qi
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