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Nonexistence results for some nonlinear elliptic and parabolic inequalities with functional parameters and parabolic inequalities with functional parameters involving the p(x)- Laplacian operator. The proof is based

POPOVICIU TYPE INEQUALITIES FOR HIGHER ORDER CONVEX FUNCTIONS VIA LIDSTONE INTERPOLATION Sigma(m)(i=1) p(i)f(x(i)) , where f is an n-convex function with even n. We also give integral analogues

Levinson type inequalities for higher order convex functions via Abel–Gontscharoff interpolation functions by using Abel–Gontscharoff interpolation. Cebyšev, Grüss, and Ostrowski-type new bounds are also

Three-weighted Hardy-type inequality on the cone of quasi-monotone functionsThree-weighted Hardy-type inequalities are investigated on a set of functions possessing monotony

The Least Root of a Continuous Function
compact set Ω ⊂ Rn, ξ ∈ [a, b] function g(τ, ξ) such that g(τ, a) · g(τ, b) < 0 we construct a function

On Brennan's conjecture for a special class of functions} assuming that the Taylor coefficients of the function log(zf′(z)/f(z)) at zero are nonnegative. We also

GENERALIZATIONS OF SOME CLASSICAL INTEGRAL INEQUALITIES CONTAINING EXTENDED MITTAG-LEFFLER FUNCTION IN THE KERNEL integral operator containing an extended Mittag-Leffler function in the kernel. A number of corollaries

GENERALIZED STEFFENSEN'S INEQUALITY BY MONTGOMERY IDENTITIES AND GREEN FUNCTIONS + 1)-convex functions and exponentially convex functions.

Coefficient Inequalities for Bloch Functions of the Taylor coefficients of Bloch functions. We use one of these estimates to prove an inequality of an area

Positivity of sums and integrals for n-convex functions via the Fink identity and new Green functions. Analogous for integral (Formula Presented) is also given. Represen-tation of a function f via the Fink

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