23 research outputs found

    (p, q)-Hermite-Hadamard inequalities and (p, q)-estimates for midpoint type inequalities via convex and quasi-convex functions

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    iscan, imdat/0000-0001-6749-0591; Kunt, Mehmet/0000-0002-8730-5370WOS: 000445335600005In this paper, we prove the correct (p, q)-Hermite-Hadamard inequality, some new (p, q)-Hermite-Hadamard inequalities, and generalized (p, q)-Hermite-Hadamard inequality. By using the left hand part of the correct (p, q)-Hermite-Hadamard inequality, we have a new equality. Finally using the new equality, we give some (p, q)-midpoint type integral inequalities through (p, q)-differentiable convex and (p, q)-differentiable quasi-convex functions. Many results given in this paper provide extensions of others given in previous works

    New national and regional bryophyte records, 61

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    New national and regional bryophyte records, This is the first record of Campylopus subulatus, Racomitrium elongatum and Taxiphyllum wissgrillii for the Liguria Region. Campylopus subulatus was found on small serpentinite outcrops occupied by a discontinuous plant community, with a paucispecific contingent of phanerogams dominated by succulent chamaephytes and therophytes (refered to the Sedo-Scleranthetalia order) and a richer contingent of bryophytes including Racomitrium elongatum Frisvoll, Hypnum callichroum Brid., Ceratodon purpureus (Hedw.) Brid., Grimmia donniana Sm., Dicranum scoparium Hedw. and Bryum Hedw. spp. These outcrops occur in a marshy area, mainly characterised by mountain grasslands and beech forests growing in a sub-oceanic climate. Racomitrium elongatum was found on serpentinite outcrops within the Beigua Regional Natural Park, in a beech forest and in marshy mountain grassland. Taxiphyllum wissgrillii was found a serpentinite outcrop in a deciduous mesophilic forest dominated by beech (Fagus sylvatica L., referring to the Fagion silvaticae alliance), in the Beigua Regional Natural Park
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