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Analytic functions with polar and logarithmic singularities and locally convex boundary values at the infinity and generalize univalent convex functions defined in the exterior of the unit disc. We prove sharp
Remarks on the monotonicity and convexity of Jensen's function, + ∞). Moreover, Beckenbach [Amer. Math. Monthly, 53 (1946), 501. 505] proved further that Js(x) is a convex
The method of multipliers for nonlinearly constrained variational inequalities and convex differentiable constraints is considered. We prove the convergence of the method with an arbitrary
Radii of convexity and close-to-convexity of certain integral representations in the determination of radii of convexity and close-to-convexity of certain integral representations. © 1970
Algorithmic determination of immobile indices in convex SIP problems with polyhedral index sets of new efficient optimality conditions without constraint qualifications. Given a class of convex SIP
Convexity and star-shapedness of the level curves of polynomials polynomial is star-shaped or convex. © 1974 Consultants Bureau.
Some elementary formulas of convex analysis belongs to a given closed convex cone C."
Some new Inequalities for Differentiable Arithmetic-Harmonically Convex Functions-mean inequalities for integrals we establish several new inequalities for differentiable arithmetic-harmonically-convex
Hardy Type Inequalities on Domains with Convex Complement and Uncertainty Principle of Heisenberg-empty convex set. We prove an extension of the Hadwiger theorems about approximations of convex compact sets
Generalized Jensen’s functional on time scales via extended Montgomery identityIn the paper, we use Jensen’s inequality for diamond integrals and generalize it for n-convex
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