Determination of Bounds for the Jensen Gap and Its Applications
The Jensen inequality has been reported as one of the most consequential inequalities that has a lot of applications in diverse fields of science. For this reason, the Jensen inequality has become one of the most discussed developmental inequalities in ...
Hidayat Ullah +2 more
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Some sharp inequalities involving Seiffert and other means and their concise proofs [PDF]
In the paper, by establishing the monotonicity of some functions involving the sine and cosine functions, the authors provide concise proofs of some known inequalities and find some new sharp inequalities involving the Seiffert, contra-harmonic ...
Jiang, Wei-Dong, Qi, Feng
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Some New Fractal Milne-Type Integral Inequalities via Generalized Convexity with Applications
This study aims to construct some new Milne-type integral inequalities for functions whose modulus of the local fractional derivatives is convex on the fractal set.
Badreddine Meftah +3 more
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Some complementary inequalities to Jensen’s operator inequality
In this paper, we study some complementary inequalities to Jensen’s inequality for self-adjoint operators, unital positive linear mappings, and real valued twice differentiable functions.
Jadranka Mićić +2 more
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Riemann-Liouville fractional Hermite-Hadamard inequalities. Part I: for once differentiable geometric-arithmetically s-convex functions [PDF]
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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Transfer Function Synthesis without Quantifier Elimination [PDF]
Traditionally, transfer functions have been designed manually for each operation in a program, instruction by instruction. In such a setting, a transfer function describes the semantics of a single instruction, detailing how a given abstract input state ...
Brauer, Jörg, King, Andy
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HERMITE-HADAMARD TYPE INEQUALITIES FOR GEOMETRIC-ARITHMETICALLY s-CONVEX FUNCTIONS
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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<abstract><p>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-arithmetic extended $ (s_1, m_1) $-$ (s_2, m_2) $ coordinated convex functions, and
Chun-Ying He, Aying Wan, Bai-Ni Guo
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Trapezoidal Type Fejér Inequalities Related to Harmonically Convex Functions and Application
Some authors introduced the concepts of the harmonically arithmetic convex functions and establish some integral inequalities of Hermite Hadamard Fejér type related to the harmonically arithmetic convex functions.
Sercan Turhan
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On generalization of Levinson’s inequality involving averages of 3-convex functions
By using an integral arithmetic mean, a generalization of Levinson’s inequality given in (Pečarić et al. in Convex Functions, Partial Orderings, and Statistical Applications. Mathematics in Science and Engineering, vol.
G. Aras-Gazić +2 more
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