Search Results - "Pečarić, J.E."

n-CONVEXITY AND MAJORIZATION by PEČARIĆ, J.E., ZWICK, D.

“…The fact that the nth order divided difference of an (n + 2)-convex function is a symmetric, convex function of its arguments, and is therefore Schur convex,…”
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New Hilbert–Pachpatte Type Integral Inequalities by Handley, G.D., Koliha, J.J., Pečarić, J.E.

“…In this paper we obtain a new class of multivariable integral inequalities of Hilbert type. By specializing the upper estimate functions in the hypothesis and…”
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Matrix Inequalities for Convex Functions by Mond, B., Pečarić, J.E.

“…Many converses of Jensen's inequality for convex functions can be found in the literature. Here we give matrix versions, with matrix weights, of these…”
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Sharpening Jensen's Inequality and a Majorization Theorem by Abramovich, S., Mond, B., Pečarić, J.E.

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On Some Inequalities of Brenner and Alzer for Concave Functions by Pearce, C.E.M., Pečarić, J.E.

“…In this paper are given some simple proofs and extensions of some inequalities for concave functions obtained recently by Brenner and Alzer…”
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On Bergh′s Inequality for Quasi-Monotone Functions by Pecaric, J.E., Persson, L.E.

“…We consider an inverse Hölder type inequality of J. Bergh [ Math Z. 215 (1994), 205-208] yielding for quasi-concave functions. We prove that this inequality…”
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Sharpening Hölder′s Inequality by Abramovich, S., Mond, B., Pecaric, J.E.

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Weighted Favard and Berwald Inequalities by Maligranda, L., Pecaric, J.E., Persson, L.E.

“…Weighted versions of the Favard and Benwald inequalities are proved in the class of monotone and concave (convex) functions. Some necessary majorization…”
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A mixed arithmetic-mean-harmonic-mean matrix inequality by Mond, B, Pec̆arić, J.E

“…A conjecture involving a mixed arithmetic-mean-geometric-mean inequality was recently proved. We give an analogous mixed arithmetic-mean-harmonic-mean…”
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On Converses of Hölder and Beckenbach Inequalities by Mond, B., Pecaric, J.E.

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Generalization of a Matrix Inequality of Ky Fan by Mond, B., Pecaric, J.E.

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ON MATRIX CONVEXITY OF THE MOORE-PENROSE INVERSE by Mond, B., Pečarić, J. E.

“…Matrix convexity of the Moore-Penrose inverse was considered in the recent literature. Here we give some converse inequalities as well as further…”
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