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New Inequalities Of Hermite-Hadamard Type For Convex Functions With Applications

Mathematics – Classical Analysis and ODEs
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New Inequalities of Hermite-Hadamard Type for Functions whose Derivatives Absolute Values are Quasi-Convex

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New inequalities of Hermite-Hadamard type for functions whose second derivatives absolute values are convex and quasi-convex

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New inequalities of Ostrowski type for mappings whose derivatives are s-convex in the second sense via fractional integrals

Mathematics – Classical Analysis and ODEs
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New inequalities of Ostrowski's type for s-convex functions in the second sense with applications

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New integral representations of n-th order convex functions

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New integral representations of the polylogarithm function

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New Lorentz spaces for the restricted weak-type Hardy's inequalities

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New Orlicz-Hardy Spaces Associated with Divergence Form Elliptic Operators

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New Ostrowski type inequalities for m-convex functions and applications

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New proofs and improvements of classical theorems in analysis

Mathematics – Classical Analysis and ODEs
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New Proofs of Davies-Simon's Theorems about Ultracontractivity and Logarithmic Sobolev Inequalities related to Nash Type Inequalities

Mathematics – Classical Analysis and ODEs
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New proofs of the duplication and multiplication formulae for the gamma and the Barnes double gamma functions

Mathematics – Classical Analysis and ODEs
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New Properties of Besov and Triebel-Lizorkin Spaces on RD-Spaces

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New rapidly converging series representations for values of the Riemann zeta function and the Dirichlet beta function

Mathematics – Classical Analysis and ODEs
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New Real-Variable Characterizations of Musielak-Orlicz Hardy Spaces

Mathematics – Classical Analysis and ODEs
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New some Hadamard's type inequalities for co-ordinated convex functions

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New special functions solving nonlinear autonomous dynamical systems

Mathematics – Classical Analysis and ODEs
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New trace norm inequalities for 2 x 2 blocks of diagonal matrices

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New transformations for elliptic hypergeometric series on the root system An

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